Universal scaling for a quantum discontinuity critical point and quantum quenches

Suzuki, Sei ; Dutta, Amit (2015) Universal scaling for a quantum discontinuity critical point and quantum quenches Physical Review B: Condensed Matter and Materials Physics, 92 (6). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.92.064419

Related URL: http://dx.doi.org/10.1103/PhysRevB.92.064419

Abstract

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We obtain the universal scaling relations of the density of defects and the residual energy after a temporal quench, while we also unravel the scaling of the characteristic length scale associated with a spatial quench of a symmetry breaking field. Considering a spin-1/2 XXZ chain we establish how these scaling relations get modified when the DCP is located at the boundary of a gapless critical phase; these predictions are also confirmed numerically.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society
ID Code:117280
Deposited On:16 Apr 2021 05:56
Last Modified:16 Apr 2021 05:56

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