Serbyn, MaksymISTA ; Knap, Michael J; Gopalakrishnan, Sarang; Papić, Zlatko; Yao, Norman Y; Laumann, Chris R; Abanin, Dmitry A; Lukin, Mikhail D; Demler, Eugene A
We propose a method for detecting many-body localization (MBL) in disordered spin systems. The method involves pulsed coherent spin manipulations that probe the dephasing of a given spin due to its entanglement with a set of distant spins. It allows one to distinguish the MBL phase from a noninteracting localized phase and a delocalized phase. In particular, we show that for a properly chosen pulse sequence the MBL phase exhibits a characteristic power-law decay reflecting its slow growth of entanglement. We find that this power-law decay is robust with respect to thermal and disorder averaging, provide numerical simulations supporting our results, and discuss possible experimental realizations in solid-state and cold-atom systems.
Physical Review Letters
We thank E. Altman, Y. Bahri, I. Bloch, T. Giamarchi, D. Huse, V. Oganesyan, A. Pal, D. Pekker, and G. Refael for insightful discussions. The authors acknowledge support from the Harvard Quantum Optics Center, Harvard-MIT CUA, the DARPA OLE program, AFOSR Quantum Simulation MURI, ARO-MURI on Atomtronics, the ARO-MURI Quism program, the Austrian Science Fund (FWF) Project No. J 3361-N20, NSERC grant, and Sloan Research Fellowship. Simulations presented in this article were performed on computational resources supported by the High Performance Computing Center (PICSciE) at Princeton University and the Research Computing Center at Harvard University. Research at Perimeter Institute was supported by the Government of Canada and by the Province of Ontario. M. S., M. K., and S. G. contributed equally to this work.
Serbyn M, Knap M, Gopalakrishnan S, et al. Interferometric probes of many-body localization. Physical Review Letters. 2014;113(14). doi:10.1103/PhysRevLett.113.147204
Serbyn, M., Knap, M., Gopalakrishnan, S., Papić, Z., Yao, N., Laumann, C., … Demler, E. (2014). Interferometric probes of many-body localization. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.113.147204
Serbyn, Maksym, Michael Knap, Sarang Gopalakrishnan, Zlatko Papić, Norman Yao, Chris Laumann, Dmitry Abanin, Mikhail Lukin, and Eugene Demler. “Interferometric Probes of Many-Body Localization.” Physical Review Letters. American Physical Society, 2014. https://doi.org/10.1103/PhysRevLett.113.147204.
M. Serbyn et al., “Interferometric probes of many-body localization,” Physical Review Letters, vol. 113, no. 14. American Physical Society, 2014.
Serbyn M, Knap M, Gopalakrishnan S, Papić Z, Yao N, Laumann C, Abanin D, Lukin M, Demler E. 2014. Interferometric probes of many-body localization. Physical Review Letters. 113(14).
Serbyn, Maksym, et al. “Interferometric Probes of Many-Body Localization.” Physical Review Letters, vol. 113, no. 14, American Physical Society, 2014, doi:10.1103/PhysRevLett.113.147204.