Late-time critical behavior of local stringlike observables under quantum quenches

Bandyopadhyay, Souvik; Polkovnikov, Anatoli; Dutta, Amit

doi:10.1103/physrevb.107.064105

Cited by 4 publications

(1 citation statement)

References 62 publications

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“…In recent studies [60][61][62][63][64], long-time dynamics of quantum information measures such as the Loschmidt echo have been used to detect signatures of quantum critical physics in thermalizing systems. While these studies focus on the microcanonical picture of thermalization and the extraction of critical exponents in the steady state, in this paper we have seen that it is also possible to detect the critical point in the dissipative steady state of an open system.…”

Section: Early Time Behaviormentioning

confidence: 99%

Signatures of quantum phases in a dissipative system

Joshi,

Mondal,

Bandyopadhyay

et al. 2024

J. Phys.: Condens. Matter

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Lindbladian formalism, as tuned to dissipative and open systems, has been all-pervasive to in-terpret non-equilibrium steady states of quantum many-body systems. We study the fate of freefermionic and superconducting phases in a dissipative one-dimensional Kitaev model - where thebath acts both as a source and a sink of fermionic particles with different coupling rates. As afunction of these two couplings, we investigate the steady state, its entanglement content, and itsapproach from varying initial states. Interestingly, we find that the steady state phase diagramretains decipherable signatures of ground state critical physics. We also show that early-time fi-delity is a useful marker to find a subclass of phase transitions in such situations. Moreover, weshow that the survival of critical signatures at late-times, strongly depend on the thermal natureof the steady state. This connection hints at a correspondence between quantum observables andclassical magnetism in the steady state of such systems. Our work uncovers interesting connectionsbetween dissipative quantum many-body systems, thermalization of a classical spin and many-bodyquantum critical phenomena.

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