Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system - INSPIRE

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Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system

Sep 14, 2022

19 pages

Published in:

Phys.Rev.E 107 (2023) 1, 014113

Published: Jan 13, 2023

e-Print:

2209.06523 [cond-mat.stat-mech]

DOI:

10.1103/PhysRevE.107.014113 (publication)

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Abstract: (APS)

We discuss the quantum dynamics of an isolated composite system consisting of weakly interacting many-body subsystems. We focus on one of the subsystems,

S

, and study the dependence of its quantum correlations and decoherence rate on the state of the weakly-coupled complementary part

E

, which represents the environment. As a theoretical laboratory, we consider a composite system made of two stacked quantum Ising chains, locally and homogeneously weakly coupled. One of the chains is identified with the subsystem

S

under scrutiny, and the other one with the environment

E

. We investigate the behavior of

S

at equilibrium, when the global system is in its ground state, and under out-of-equilibrium conditions, when the global system evolves unitarily after a quench of the coupling between

S

and

E

. When

S

develops quantum critical correlations in the weak-coupling regime, the associated scaling behavior crucially depends on the quantum state of

E

, whether it is characterized by short-range correlations (analogous to those characterizing disordered phases in closed systems), algebraically decaying correlations (typical of critical systems), or long-range correlations (typical of magnetized ordered phases). In particular, different scaling behaviors, depending on the state of

E

, are observed for the decoherence of the subsystem

S

, as demonstrated by the different power-law divergences of the decoherence susceptibility that quantifies the sensitivity of the coherence to the interaction with

E

.

Note:

19 pages

References(88)

Figures(12)

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