Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties

AbstractWe consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the coupling strength of system-auxiliary system and auxiliary system-reservoir, coherence of environment and initial system-environment correlations. And we study the non-Markovianity induced by coherence of environment from the perspective of energy, further the relationship between information backflow and energy flux is obtained. Then we study the effect of non-Markovianity on thermodynamic properties. By studying the entropy change of system especially that from heat exchanges with the environment, we reveal the essence of entropy change between positive and negative values during non-Markovian evolution is due to the contribution of heat flux induced by coherence. And compared with the case of Markovian dynamics, we observe that the entropy production decreases in some specific time intervals under non-Markovian dynamics induced by the coupling strength. And this is different to the case of non-Markovianity caused by initial system-environment correlation, that we show the possibility of positive entropy production during the whole dynamics.

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Possibility of the total thermodynamic entropy production rate of a finite-sized isolated quantum system to be negative for the Gorini-Kossakowski-Sudarshan-Lindblad-type Markovian dynamics of its subsystem

Physical Review A ◽

10.1103/physreva.103.052208 ◽

2021 ◽

Vol 103 (5) ◽

Author(s):

Takaaki Aoki ◽

Yuichiro Matsuzaki ◽

Hideaki Hakoshima

Keyword(s):

Quantum System ◽

Entropy Production ◽

Production Rate ◽

Entropy Production Rate ◽

Thermodynamic Entropy ◽

Markovian Dynamics

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Geometric phase corrected by initial system-environment correlations

Physical Review A ◽

10.1103/physreva.101.022114 ◽

2020 ◽

Vol 101 (2) ◽

Cited By ~ 1

Author(s):

Sharoon Austin ◽

Sheraz Zahid ◽

Adam Zaman Chaudhry

Keyword(s):

Geometric Phase ◽

Initial System ◽

System Environment

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QUANTUM MEASUREMENTS, INFORMATION AND ENTROPY PRODUCTION

International Journal of Modern Physics B ◽

10.1142/s0217979299003076 ◽

1999 ◽

Vol 13 (28) ◽

pp. 3369-3382 ◽

Cited By ~ 4

Author(s):

Y. N. SRIVASTAVA ◽

G. VITIELLO ◽

A. WIDOM

Keyword(s):

Entropy Production ◽

Information Entropy ◽

Quantum Measurements ◽

Second Law ◽

Quantum Object ◽

Measurement Apparatus ◽

Thermodynamic Entropy ◽

Classical Measurement ◽

The Relationship

In order to understand the Landau–Lifshitz conjecture on the relationship between quantum measurements and the thermodynamic second law, we discuss the notion of "diabatic" and "adiabatic" forces exerted by the quantum object on the classical measurement apparatus. The notion of heat and work in measurements is made manifest in this approach and the relationship between information entropy and thermodynamic entropy is explored.

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Purity as a witness for initial system-environment correlations in open-system dynamics

Physical Review A ◽

10.1103/physreva.84.042113 ◽

2011 ◽

Vol 84 (4) ◽

Cited By ~ 21

Author(s):

D Z. Rossatto ◽

T. Werlang ◽

L K. Castelano ◽

C J. Villas-Boas ◽

F F. Fanchini

Keyword(s):

System Dynamics ◽

Open System ◽

Initial System ◽

System Environment

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Control of amplitude death by coupling range in a network of fractional-order oscillators

International Journal of Modern Physics B ◽

10.1142/s0217979220503038 ◽

2020 ◽

Vol 34 (31) ◽

pp. 2050303

Author(s):

Rui Xiao ◽

Zhongkui Sun

Keyword(s):

Theoretical Analysis ◽

Numerical Simulations ◽

Fractional Order ◽

Coupling Strength ◽

Low Frequency ◽

System Size ◽

Coupled Systems ◽

Amplitude Death ◽

Function Relationship ◽

The Relationship

We investigate the oscillating dynamics in a ring of network of nonlocally delay-coupled fractional-order Stuart-Landau oscillators. It is concluded that with the increasing of coupling range, the structures of death islands go from richness to simplistic, nevertheless, the area of amplitude death (AD) state is expanded along coupling delay and coupling strength directions. The increased coupling range can prompt the coupled systems with low frequency to occur AD. When system size varies, the area of death islands changes periodically, and the linear function relationship between periodic length and coupling range can be deduced. Thus, one can modulate the oscillating dynamics by adjusting the relationship between coupling range and system size. Furthermore, the results of numerical simulations are consistent with theoretical analysis.

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Weak Measurement-Assisted Coherence Enhancement with Initial System-Environment Correlation

International Journal of Theoretical Physics ◽

10.1007/s10773-019-04305-2 ◽

2019 ◽

Vol 59 (1) ◽

pp. 159-165

Author(s):

Xing Xiao ◽

Yuxiang Lian ◽

Yan-Ling Li

Keyword(s):

Weak Measurement ◽

Initial System ◽

System Environment

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Quantum Error Correction in the Presence of Initial System-Environment Correlations

Open Systems & Information Dynamics ◽

10.1142/s1230161220500092 ◽

2020 ◽

Vol 27 (02) ◽

pp. 2050009

Author(s):

A. Türkmen ◽

A. Verçin

Keyword(s):

Error Correction ◽

Reference System ◽

Quantum Error Correction ◽

Communication Process ◽

Initial System ◽

Unitary Evolution ◽

System Environment ◽

Necessary And Sufficient ◽

Quantum Error ◽

Unitary Action

Quantum error correction is studied in a framework consisting of an open quantum system and its environment, jointly subjected to a unitary action, and an interaction-free reference system. It has been shown that coherent information between the initially correlated open system and reference system is conserved in the transmission stage of any quantum communication process, provided that the tripartite input is any pure Markov state and the overall evolution preserves its form. This conservation constitutes the necessary and sufficient condition for accomplishment of perfect error correction by a recovery channel even in the presence of initial system-environment correlations. Explicit expressions of the recovery operators and examples of the joint unitary evolution preserving the form of inputs are given for all classes of pure Markov states.

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Quantum speedup, non-Markovianity and formation of bound state

Scientific Reports ◽

10.1038/s41598-019-51290-x ◽

2019 ◽

Vol 9 (1) ◽

Cited By ~ 4

Author(s):

Bahram Ahansaz ◽

Abbas Ektesabi

Keyword(s):

Bound States ◽

Decisive Role ◽

Bound State ◽

Negative Energy ◽

Quantum Evolution ◽

Level System ◽

System Environment ◽

Speed Up ◽

The Relationship ◽

Quantum Speedup

Abstract In this paper, we investigate the relationship between the quantum speedup, non-Markovianity and formation of a system-environment bound state. Previous results show a monotonic relation between these three such that providing bound states with more negative energy can lead to a higher degree of non-Markovianity, and hence to a greater speed of quantum evolution. By studying dynamics of a dissipative two-level system or a V-type three-level system, when similar and additional systems are present, we reveal that the quantum speedup is exclusively related to the formation of the system-environment bound state, while the non-Markovian effect of the system dynamics is neither necessary nor sufficient to speed up the quantum evolution. On the other hand, it is shown that only the formation of the system-environment bound state plays a decisive role in the acceleration of the quantum evolution.

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