TY - JOUR AB - We prove the r-spin cobordism hypothesis in the setting of (weak) 2-categories for every positive integer r: the 2-groupoid of 2-dimensional fully extended r-spin TQFTs with given target is equivalent to the homotopy fixed points of an induced Spin 2r -action. In particular, such TQFTs are classified by fully dualisable objects together with a trivialisation of the rth power of their Serre automorphisms. For r=1, we recover the oriented case (on which our proof builds), while ordinary spin structures correspond to r=2. To construct examples, we explicitly describe Spin 2r​-homotopy fixed points in the equivariant completion of any symmetric monoidal 2-category. We also show that every object in a 2-category of Landau–Ginzburg models gives rise to fully extended spin TQFTs and that half of these do not factor through the oriented bordism 2-category. AU - Carqueville, Nils AU - Szegedy, Lorant ID - 14756 IS - 3 JF - Quantum Topology KW - Geometry and Topology KW - Mathematical Physics SN - 1663-487X TI - Fully extended r-spin TQFTs VL - 14 ER - TY - JOUR AB - We study an impurity with a resonance level whose position coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new characteristic length scale into the problem. We investigate manifestations of this length scale in the self-energy of the impurity and in the density of the bath. Our calculations reveal a model-independent deformation of the density of the Fermi gas, which is determined by the width of the resonance. To provide a broader picture, we investigate time evolution of the density in quench dynamics, and study the behavior of the system at finite temperatures. Finally, we briefly discuss implications of our findings for the Fermi-polaron problem. AU - Maslov, Mikhail AU - Lemeshko, Mikhail AU - Volosniev, Artem ID - 10845 JF - Physical Review Research SN - 2643-1564 TI - Impurity with a resonance in the vicinity of the Fermi energy VL - 4 ER - TY - JOUR AB - A critical overview of the theory of the chirality-induced spin selectivity (CISS) effect, that is, phenomena in which the chirality of molecular species imparts significant spin selectivity to various electron processes, is provided. Based on discussions in a recently held workshop, and further work published since, the status of CISS effects—in electron transmission, electron transport, and chemical reactions—is reviewed. For each, a detailed discussion of the state-of-the-art in theoretical understanding is provided and remaining challenges and research opportunities are identified. AU - Evers, Ferdinand AU - Aharony, Amnon AU - Bar-Gill, Nir AU - Entin-Wohlman, Ora AU - Hedegård, Per AU - Hod, Oded AU - Jelinek, Pavel AU - Kamieniarz, Grzegorz AU - Lemeshko, Mikhail AU - Michaeli, Karen AU - Mujica, Vladimiro AU - Naaman, Ron AU - Paltiel, Yossi AU - Refaely-Abramson, Sivan AU - Tal, Oren AU - Thijssen, Jos AU - Thoss, Michael AU - Van Ruitenbeek, Jan M. AU - Venkataraman, Latha AU - Waldeck, David H. AU - Yan, Binghai AU - Kronik, Leeor ID - 10771 IS - 13 JF - Advanced Materials SN - 09359648 TI - Theory of chirality induced spin selectivity: Progress and challenges VL - 34 ER - TY - JOUR AB - Rotational dynamics of D2 molecules inside helium nanodroplets is induced by a moderately intense femtosecond pump pulse and measured as a function of time by recording the yield of HeD+ ions, created through strong-field dissociative ionization with a delayed femtosecond probe pulse. The yield oscillates with a period of 185 fs, reflecting field-free rotational wave packet dynamics, and the oscillation persists for more than 500 periods. Within the experimental uncertainty, the rotational constant BHe of the in-droplet D2 molecule, determined by Fourier analysis, is the same as Bgas for an isolated D2 molecule. Our observations show that the D2 molecules inside helium nanodroplets essentially rotate as free D2 molecules. AU - Qiang, Junjie AU - Zhou, Lianrong AU - Lu, Peifen AU - Lin, Kang AU - Ma, Yongzhe AU - Pan, Shengzhe AU - Lu, Chenxu AU - Jiang, Wenyu AU - Sun, Fenghao AU - Zhang, Wenbin AU - Li, Hui AU - Gong, Xiaochun AU - Averbukh, Ilya Sh AU - Prior, Yehiam AU - Schouder, Constant A. AU - Stapelfeldt, Henrik AU - Cherepanov, Igor AU - Lemeshko, Mikhail AU - Jäger, Wolfgang AU - Wu, Jian ID - 11552 IS - 24 JF - Physical Review Letters SN - 00319007 TI - Femtosecond rotational dynamics of D2 molecules in superfluid helium nanodroplets VL - 128 ER - TY - JOUR AB - We investigate the ground-state properties of weakly repulsive one-dimensional bosons in the presence of an attractive zero-range impurity potential. First, we derive mean-field solutions to the problem on a finite ring for the two asymptotic cases: (i) all bosons are bound to the impurity and (ii) all bosons are in a scattering state. Moreover, we derive the critical line that separates these regimes in the parameter space. In the thermodynamic limit, this critical line determines the maximum number of bosons that can be bound by the impurity potential, forming an artificial atom. Second, we validate the mean-field results using the flow equation approach and the multi-layer multi-configuration time-dependent Hartree method for atomic mixtures. While beyond-mean-field effects destroy long-range order in the Bose gas, the critical boson number is unaffected. Our findings are important for understanding such artificial atoms in low-density Bose gases with static and mobile impurities. AU - Brauneis, Fabian AU - Backert, Timothy G. AU - Mistakidis, Simeon I. AU - Lemeshko, Mikhail AU - Hammer, Hans Werner AU - Volosniev, Artem ID - 11590 IS - 6 JF - New Journal of Physics SN - 1367-2630 TI - Artificial atoms from cold bosons in one dimension VL - 24 ER - TY - JOUR AB - We compare recent experimental results [Science 375, 528 (2022)] of the superfluid unitary Fermi gas near the critical temperature with a thermodynamic model based on the elementary excitations of the system. We find good agreement between experimental data and our theory for several quantities such as first sound, second sound, and superfluid fraction. We also show that mode mixing between first and second sound occurs. Finally, we characterize the response amplitude to a density perturbation: Close to the critical temperature both first and second sound can be excited through a density perturbation, whereas at lower temperatures only the first sound mode exhibits a significant response. AU - Bighin, Giacomo AU - Cappellaro, Alberto AU - Salasnich, L. ID - 11592 IS - 6 JF - Physical Review A SN - 2469-9926 TI - Unitary Fermi superfluid near the critical temperature: Thermodynamics and sound modes from elementary excitations VL - 105 ER - TY - JOUR AB - Recently it became possible to study highly excited rotational states of molecules in superfluid helium through nonadiabatic alignment experiments (Cherepanov et al 2021 Phys. Rev. A 104 L061303). This calls for theoretical approaches that go beyond explaining renormalized values of molecular spectroscopic constants, which suffices when only the lowest few rotational states are involved. As the first step in this direction, here we present a basic quantum mechanical model describing highly excited rotational states of molecules in superfluid helium nanodroplets. We show that a linear molecule immersed in a superfluid can be seen as an effective symmetric top, similar to the rotational structure of radicals, such as OH or NO, but with the angular momentum of the superfluid playing the role of the electronic angular momentum in free molecules. The simple theory sheds light onto what happens when the rotational angular momentum of the molecule increases beyond the lowest excited states accessible by infrared spectroscopy. In addition, the model allows to estimate the effective rotational and centrifugal distortion constants for a broad range of species and to explain the crossover between light and heavy molecules in superfluid 4He in terms of the many-body wavefunction structure. Some of the above mentioned insights can be acquired by analyzing a simple 2 × 2 matrix. AU - Cherepanov, Igor AU - Bighin, Giacomo AU - Schouder, Constant A. AU - Chatterley, Adam S. AU - Stapelfeldt, Henrik AU - Lemeshko, Mikhail ID - 11998 IS - 7 JF - New Journal of Physics SN - 1367-2630 TI - A simple model for high rotational excitations of molecules in a superfluid VL - 24 ER - TY - JOUR AB - We study the fate of an impurity in an ultracold heteronuclear Bose mixture, focusing on the experimentally relevant case of a ⁴¹K - ⁸⁷Rb mixture, with the impurity in a ⁴¹K hyperfine state. Our paper provides a comprehensive description of an impurity in a BEC mixture with contact interactions across its phase diagram. We present results for the miscible and immiscible regimes, as well as for the impurity in a self-bound quantum droplet. Here, varying the interactions, we find exotic states where the impurity localizes either at the center or at the surface of the droplet. AU - Bighin, Giacomo AU - Burchianti, A. AU - Minardi, F. AU - Macrì, T. ID - 11997 IS - 2 JF - Physical Review A SN - 2469-9926 TI - Impurity in a heteronuclear two-component Bose mixture VL - 106 ER - TY - JOUR AB - We demonstrate the formation of robust zero-energy modes close to magnetic impurities in the iron-based superconductor FeSe1-z Tez. We find that the Zeeman field generated by the impurity favors a spin-triplet interorbital pairing as opposed to the spin-singlet intraorbital pairing prevalent in the bulk. The preferred spin-triplet pairing preserves time-reversal symmetry and is topological, as robust, topologically protected zero modes emerge at the boundary between regions with different pairing states. Moreover, the zero modes form Kramers doublets that are insensitive to the direction of the spin polarization or to the separation between impurities. We argue that our theoretical results are consistent with recent experimental measurements on FeSe1-z Tez. AU - Ghazaryan, Areg AU - Kirmani, Ammar AU - Fernandes, Rafael M. AU - Ghaemi, Pouyan ID - 12139 IS - 20 JF - Physical Review B SN - 2469-9950 TI - Anomalous Shiba states in topological iron-based superconductors VL - 106 ER - TY - JOUR AB - Methods inspired from machine learning have recently attracted great interest in the computational study of quantum many-particle systems. So far, however, it has proven challenging to deal with microscopic models in which the total number of particles is not conserved. To address this issue, we propose a variant of neural network states, which we term neural coherent states. Taking the Fröhlich impurity model as a case study, we show that neural coherent states can learn the ground state of nonadditive systems very well. In particular, we recover exact diagonalization in all regimes tested and observe substantial improvement over the standard coherent state estimates in the most challenging intermediate-coupling regime. Our approach is generic and does not assume specific details of the system, suggesting wide applications. AU - Rzadkowski, Wojciech AU - Lemeshko, Mikhail AU - Mentink, Johan H. ID - 12150 IS - 15 JF - Physical Review B SN - 2469-9950 TI - Artificial neural network states for nonadditive systems VL - 106 ER - TY - JOUR AB - Motivated by properties-controlling potential of the strain, we investigate strain dependence of structure, electronic, and magnetic properties of Sr2IrO4 using complementary theoretical tools: ab-initio calculations, analytical approaches (rigid octahedra picture, Slater-Koster integrals), and extended t−J model. We find that strain affects both Ir-Ir distance and Ir-O-Ir angle, and the rigid octahedra picture is not relevant. Second, we find fundamentally different behavior for compressive and tensile strain. One remarkable feature is the formation of two subsets of bond- and orbital-dependent carriers, a compass-like model, under compression. This originates from the strain-induced renormalization of the Ir-O-Ir superexchange and O on-site energy. We also show that under compressive (tensile) strain, Fermi surface becomes highly dispersive (relatively flat). Already at a tensile strain of 1.5%, we observe spectral weight redistribution, with the low-energy band acquiring almost purely singlet character. These results can be directly compared with future experiments. AU - Paerschke, Ekaterina AU - Chen, Wei-Chih AU - Ray, Rajyavardhan AU - Chen, Cheng-Chien ID - 12213 JF - npj Quantum Materials KW - Condensed Matter Physics KW - Electronic KW - Optical and Magnetic Materials TI - Evolution of electronic and magnetic properties of Sr₂IrO₄ under strain VL - 7 ER - TY - JOUR AB - We review our theoretical results of the sound propagation in two-dimensional (2D) systems of ultracold fermionic and bosonic atoms. In the superfluid phase, characterized by the spontaneous symmetry breaking of the U(1) symmetry, there is the coexistence of first and second sound. In the case of weakly-interacting repulsive bosons, we model the recent measurements of the sound velocities of 39K atoms in 2D obtained in the weakly-interacting regime and around the Berezinskii–Kosterlitz–Thouless (BKT) superfluid-to-normal transition temperature. In particular, we perform a quite accurate computation of the superfluid density and show that it is reasonably consistent with the experimental results. For superfluid attractive fermions, we calculate the first and second sound velocities across the whole BCS-BEC crossover. In the low-temperature regime, we reproduce the recent measurements of first-sound speed with 6Li atoms. We also predict that there is mixing between sound modes only in the finite-temperature BEC regime. AU - Salasnich, Luca AU - Cappellaro, Alberto AU - Furutani, Koichiro AU - Tononi, Andrea AU - Bighin, Giacomo ID - 12154 IS - 10 JF - Symmetry KW - Physics and Astronomy (miscellaneous) KW - General Mathematics KW - Chemistry (miscellaneous) KW - Computer Science (miscellaneous) SN - 2073-8994 TI - First and second sound in two-dimensional bosonic and fermionic superfluids VL - 14 ER - TY - THES AB - In this Thesis, I study composite quantum impurities with variational techniques, both inspired by machine learning as well as fully analytic. I supplement this with exploration of other applications of machine learning, in particular artificial neural networks, in many-body physics. In Chapters 3 and 4, I study quasiparticle systems with variational approach. I derive a Hamiltonian describing the angulon quasiparticle in the presence of a magnetic field. I apply analytic variational treatment to this Hamiltonian. Then, I introduce a variational approach for non-additive systems, based on artificial neural networks. I exemplify this approach on the example of the polaron quasiparticle (Fröhlich Hamiltonian). In Chapter 5, I continue using artificial neural networks, albeit in a different setting. I apply artificial neural networks to detect phases from snapshots of two types physical systems. Namely, I study Monte Carlo snapshots of multilayer classical spin models as well as molecular dynamics maps of colloidal systems. The main type of networks that I use here are convolutional neural networks, known for their applicability to image data. AU - Rzadkowski, Wojciech ID - 10759 SN - 2663-337X TI - Analytic and machine learning approaches to composite quantum impurities ER - TY - JOUR AB - Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle AU - Brooks, Morris AU - Lemeshko, Mikhail AU - Lundholm, Douglas AU - Yakaboylu, Enderalp ID - 10585 IS - 4 JF - Atoms KW - anyons KW - quasiparticles KW - Quantum Hall Effect KW - topological states of matter TI - Emergence of anyons on the two-sphere in molecular impurities VL - 9 ER - TY - JOUR AB - Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive real number—interpreted as area—which behaves additively under glueing. As opposed to topological theories, in area-dependent theories the state spaces can be infinite-dimensional. We introduce the notion of regularised Frobenius algebras in Hilbert spaces and show that area-dependent theories are in one-to-one correspondence to commutative regularised Frobenius algebras. We also provide a state sum construction for area-dependent theories. Our main example is two-dimensional Yang–Mills theory with compact gauge group, which we treat in detail. AU - Runkel, Ingo AU - Szegedy, Lorant ID - 8816 IS - 1 JF - Communications in Mathematical Physics SN - 00103616 TI - Area-dependent quantum field theory VL - 381 ER - TY - JOUR AB - Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field. AU - Brooks, Morris AU - Lemeshko, Mikhail AU - Lundholm, D. AU - Yakaboylu, Enderalp ID - 9005 IS - 1 JF - Physical Review Letters SN - 00319007 TI - Molecular impurities as a realization of anyons on the two-sphere VL - 126 ER - TY - JOUR AB - We employ the Gross-Pitaevskii equation to study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths, and argue that it is possible to extract properties of the impurity by observing this shape. We illustrate here this possibility for a Bose gas with a trapped impurity atom -- an example of a relevant experimental setup. Presented results are general for all one-dimensional systems described by the nonlinear Schrödinger equation and can also be used in nonatomic systems, e.g., to analyze light propagation in nonlinear optical media. Finally, we calculate the shape of the sound-wave packet for a three-dimensional Bose gas assuming a spherically symmetric perturbation. AU - Marchukov, Oleksandr AU - Volosniev, Artem ID - 9093 IS - 2 JF - SciPost Physics SN - 2542-4653 TI - Shape of a sound wave in a weakly-perturbed Bose gas VL - 10 ER - TY - JOUR AB - Sound propagation is a macroscopic manifestation of the interplay between the equilibrium thermodynamics and the dynamical transport properties of fluids. Here, for a two-dimensional system of ultracold fermions, we calculate the first and second sound velocities across the whole BCS-BEC crossover, and we analyze the system response to an external perturbation. In the low-temperature regime we reproduce the recent measurements [Phys. Rev. Lett. 124, 240403 (2020)] of the first sound velocity, which, due to the decoupling of density and entropy fluctuations, is the sole mode excited by a density probe. Conversely, a heat perturbation excites only the second sound, which, being sensitive to the superfluid depletion, vanishes in the deep BCS regime and jumps discontinuously to zero at the Berezinskii-Kosterlitz-Thouless superfluid transition. A mixing between the modes occurs only in the finite-temperature BEC regime, where our theory converges to the purely bosonic results. AU - Tononi, A. AU - Cappellaro, Alberto AU - Bighin, Giacomo AU - Salasnich, L. ID - 9606 IS - 6 JF - Physical Review A SN - 24699926 TI - Propagation of first and second sound in a two-dimensional Fermi superfluid VL - 103 ER - TY - JOUR AB - The relative motion of three impenetrable particles on a ring, in our case two identical fermions and one impurity, is isomorphic to a triangular quantum billiard. Depending on the ratio κ of the impurity and fermion masses, the billiards can be integrable or non-integrable (also referred to in the main text as chaotic). To set the stage, we first investigate the energy level distributions of the billiards as a function of 1/κ ∈ [0, 1] and find no evidence of integrable cases beyond the limiting values 1/κ = 1 and 1/κ = 0. Then, we use machine learning tools to analyze properties of probability distributions of individual quantum states. We find that convolutional neural networks can correctly classify integrable and non-integrable states. The decisive features of the wave functions are the normalization and a large number of zero elements, corresponding to the existence of a nodal line. The network achieves typical accuracies of 97%, suggesting that machine learning tools can be used to analyze and classify the morphology of probability densities obtained in theory or experiment. AU - Huber, David AU - Marchukov, Oleksandr V. AU - Hammer, Hans Werner AU - Volosniev, Artem ID - 9679 IS - 6 JF - New Journal of Physics TI - Morphology of three-body quantum states from machine learning VL - 23 ER - TY - JOUR AB - We study an effective one-dimensional quantum model that includes friction and spin-orbit coupling (SOC), and show that the model exhibits spin polarization when both terms are finite. Most important, strong spin polarization can be observed even for moderate SOC, provided that the friction is strong. Our findings might help to explain the pronounced effect of chirality on spin distribution and transport in chiral molecules. In particular, our model implies static magnetic properties of a chiral molecule, which lead to Shiba-like states when a molecule is placed on a superconductor, in accordance with recent experimental data. AU - Volosniev, Artem AU - Alpern, Hen AU - Paltiel, Yossi AU - Millo, Oded AU - Lemeshko, Mikhail AU - Ghazaryan, Areg ID - 9770 IS - 2 JF - Physical Review B SN - 2469-9950 TI - Interplay between friction and spin-orbit coupling as a source of spin polarization VL - 104 ER -