scholarly journals Fluctuations in Extractable Work and Bounds on the Charging Power of Quantum Batteries

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1455
Author(s):  
Shang-Yung Wang
Keyword(s):  
Free Energy ◽  
System Dynamics ◽  
Open System ◽  
Critical Analysis ◽  
Energy Operator ◽  
Work Content ◽  
Original Derivation

Motivated by a recent disagreement about the claim that fluctuations in the free energy operator bound the charging power of a quantum battery, we present a critical analysis of the original derivation. The analysis shows that the above claim does not hold for both closed- and open-system dynamics. Our results indicate that the free energy operator is not a consistent quantifying operator for the work content of a charging quantum battery.

scholarly journals Symmetry in the open-system dynamics of quantum correlations

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Henri Lyyra ◽  
Göktuğ Karpat ◽  
Chuan-Feng Li ◽  
Guang-Can Guo ◽  
Jyrki Piilo ◽  
...  
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Quantum Correlations

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

2011 ◽  
Vol 84 (4) ◽  
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

Free-Energy Calculations

2006 ◽  
Author(s):  
Vasily Bulatov ◽  
Wei Cai
Keyword(s):  
Free Energy ◽  
Melting Temperature ◽  
Open System ◽  
Finite Temperature ◽  
Liquid State ◽  
Crystalline State ◽  
Minimum Energy ◽  
Temperature Limit ◽  
Free Energy Calculations ◽  
Energy Calculations

Free energy is of central importance for understanding the properties of physical systems at finite temperatures. While in the zero temperature limit the system should evolve to a state of minimum energy (Section 2.3), this is not necessarily the case at a finite temperature. When an open system exchanges energy with the outside world (a thermostat) and maintains a constant temperature, its evolution proceeds towards minimizing its free energy. For example, a crystal turns into a liquid when the temperature exceeds its melting temperature precisely because the free energy of the liquid state becomes lower than that of the crystalline state. In the context of dislocation simulations, free energy is all important when one has to decide which of the possible core configurations the dislocation is likely to adopt at a given temperature.

scholarly journals Five approaches to exact open-system dynamics: Complete positivity, divisibility, and time-dependent observables

2019 ◽  
Vol 151 (4) ◽  
pp. 044101 ◽  
Author(s):  
V. Reimer ◽  
M. R. Wegewijs ◽  
K. Nestmann ◽  
M. Pletyukhov
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Time Dependent ◽  
Complete Positivity

Disentanglement and decoherence by open system dynamics

2004 ◽  
Vol 69 (5) ◽  
Author(s):  
P. J. Dodd ◽  
J. J. Halliwell
Keyword(s):  
System Dynamics ◽  
Open System

A View on Decoherence Via Master Equations

2005 ◽  
Vol 12 (01) ◽  
pp. 37-54 ◽  
Author(s):  
Rolando Rebolledo
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Quantum Physics ◽  
Master Equations

This paper addresses the discussion on probabilistic features of the concept of decoherence as it appeared in quantum physics. Given a Lindblad-type generator of an open system dynamics, we derive applicable criteria to characterize decoherent behaviour.

scholarly journals Relativistic Quantum Metrology in Open System Dynamics

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Zehua Tian ◽  
Jieci Wang ◽  
Heng Fan ◽  
Jiliang Jing
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Relativistic Quantum ◽  
Quantum Metrology

scholarly journals Nonpositive evolutions in open system dynamics

2003 ◽  
Vol 67 (4) ◽  
Author(s):  
F. Benatti ◽  
R. Floreanini ◽  
M. Piani
Keyword(s):  
System Dynamics ◽  
Open System

scholarly journals Unbounded Generators of Dynamical Semigroups

2017 ◽  
Vol 24 (04) ◽  
pp. 1740015 ◽  
Author(s):  
I. Siemon ◽  
A. S. Holevo ◽  
R. F. Werner
Keyword(s):  
System Dynamics ◽  
Open System ◽  
Standard Form ◽  
Precise Description ◽  
First Order

Dynamical semigroups have become the key structure for describing open system dynamics in all of physics. Bounded generators are known to be of a standard form, due to Gorini, Kossakowski, Sudarshan and Lindblad. This form is often used also in the unbounded case, but rather little is known about the general form of unbounded generators. In this paper we first give a precise description of the standard form in the unbounded case, emphasizing intuition, and collecting and even proving the basic results around it. We also give a cautionary example showing that the standard form must not be read too naively. Further examples are given of semigroups, which appear to be probability preserving to first order, but are not for finite times. Based on these, we construct examples of generators which are not of standard form.

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