Roy, N and Sharma, A (2021) Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model. In: Journal of Physics Condensed Matter, 33 (33).
|
PDF
jou_phy_con_mat_33-33_2021.pdf - Published Version Download (1MB) | Preview |
Abstract
We investigate the nonequilibrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of nearest neighbor hopping), localized and mixed phases hosted by the quasiperiodic Aubry-André-Harper (AAH) model in the presence of long-range hopping. For sufficiently long-range hopping strength a secondary logarithmic behavior in the entanglement entropy is found in the mixed phases whereas the primary behavior is a power-law the exponent of which is different in different phases. The saturation value of entanglement entropy in the delocalized, multifractal and mixed phases depends linearly on system size whereas in the localized phase (in the short-range regime) it is independent of system size. The early-time growth of OTOC shows very different power-law behaviors in the presence of nearest neighbor hopping and long-range hopping. The late time decay of OTOC leads to noticeably different power-law exponents in different phases. The spatial profile of OTOC and its system-size dependence also provide distinct features to distinguish phases. In the mixed phases the spatial profile of OTOC shows two different dependences on space for small and large distances respectively. Interestingly the spatial profile contains large fluctuations at the special locations related to the quasiperiodicity parameter in the presence of multifractal states. © 2021 IOP Publishing Ltd Printed in the UK
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Physics Condensed Matter |
| Publisher: | IOP Publishing Ltd |
| Additional Information: | The copyright for this article belongs to Authors |
| Keywords: | Entropy; Fractals, Entanglement entropy; Nearest neighbor hopping; Non-equilibrium dynamics; Noninteracting fermions; Power law exponent; Power-law behavior; Quasi-periodicities; Saturation values, Quantum entanglement, article; entropy; fermion; mixed cell culture |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 07 Oct 2021 15:55 |
| Last Modified: | 07 Oct 2021 15:55 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69659 |
Actions (login required)
 |
View Item |
