scholarly journals Energy Conservation and the Correlation Quasi-Temperature in Open Quantum Dynamics

Particles ◽  
2018 ◽  
Vol 1 (1) ◽  
pp. 285-295 ◽  
Author(s):  
Vladimir Morozov ◽  
Vasyl’ Ignatyuk
Keyword(s):  
Energy Conservation ◽  
Master Equation ◽  
Interaction Energy ◽  
Conservation Law ◽  
Quantum Dynamics ◽  
State Parameter ◽  
Dynamical Variable ◽  
Open Quantum ◽  
Weak Coupling Approximation ◽  
The Mean

The master equation for an open quantum system is derived in the weak-coupling approximation when the additional dynamical variable—the mean interaction energy—is included into the generic relevant statistical operator. This master equation is nonlocal in time and involves the “quasi-temperature”, which is a non- equilibrium state parameter conjugated thermodynamically to the mean interaction energy of the composite system. The evolution equation for the quasi-temperature is derived using the energy conservation law. Thus long-living dynamical correlations, which are associated with this conservation law and play an important role in transition to the Markovian regime and subsequent equilibration of the system, are properly taken into account.

scholarly journals Open quantum random walks and the mean hitting time formula

2017 ◽  
Vol 17 (1&2) ◽  
pp. 79-105
Author(s):  
Carlos F. Lardizabal
Keyword(s):  
Quantum Dynamics ◽  
Quantum Walk ◽  
Hitting Time ◽  
Hitting Times ◽  
Finite Collection ◽  
Quantum Random Walks ◽  
Quantum Random Walk ◽  
Open Quantum ◽  
Quantum Version ◽  
The Mean

We make use of the Open Quantum Random Walk setting due to S. Attal, F. Petruccione, C. Sabot and I. Sinayskiy in order to discuss hitting times and a quantum version of the Mean Hitting Time Formula from classical probability theory. We study an open quantum notion of hitting probability on a finite collection of sites and with this we are able to describe the problem in terms of linear maps and its matrix representations. After setting an open quantum version of the fundamental matrix for ergodic Markov chains we are able to prove our main result and as consequence a version of the Random Target Lemma. We also study a mean hitting time formula in terms of the minimal polynomial associated to the matrix representation of the quantum walk. We discuss applications of the results to open quantum dynamics on graphs together with open questions.

scholarly journals Entanglement in open quantum dynamics

2009 ◽  
Vol T135 ◽  
pp. 014033 ◽  
Author(s):  
Aurelian Isar
Keyword(s):  
Quantum Dynamics ◽  
Open Quantum

scholarly journals Memory Effects in Quantum Dynamics Modelled by Quantum Renewal Processes

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 905
Author(s):  
Nina Megier ◽  
Manuel Ponzi ◽  
Andrea Smirne ◽  
Bassano Vacchini
Keyword(s):  
Quantum Dynamics ◽  
Open Quantum System ◽  
Open Quantum Systems ◽  
Phenomenological Approach ◽  
Quantum Systems ◽  
Renewal Processes ◽  
Continuous Part ◽  
Trace Distance ◽  
Open Quantum ◽  
And Control

Simple, controllable models play an important role in learning how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class of quantum dynamics provides us with a phenomenological approach to characterise dynamics with a variety of non-Markovian behaviours, here described in terms of the trace distance between two reduced states. By adopting a trajectory picture for the open quantum system evolution, we analyse how non-Markovianity is influenced by the constituents defining the quantum renewal process, namely the time-continuous part of the dynamics, the type of jumps and the waiting time distributions. We focus not only on the mere value of the non-Markovianity measure, but also on how different features of the trace distance evolution are altered, including times and number of revivals.

scholarly journals Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Scalar Field ◽  
Density Matrix ◽  
Master Equation ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Thermal Bath ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Open Quantum ◽  
Non Locality

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

Reduced energy conservation law for magnetized plasma

1994 ◽  
Vol 50 (3) ◽  
pp. 293-297 ◽  
Author(s):  
Petro P Sosenko ◽  
Viktor K Decyk
Keyword(s):  
Energy Conservation ◽  
Conservation Law ◽  
Magnetized Plasma ◽  
Energy Conservation Law

Coupled systems of two-dimensional turbulence

2013 ◽  
Vol 732 ◽  
Author(s):  
Rick Salmon
Keyword(s):  
Hamiltonian System ◽  
Energy Conservation ◽  
Strong Correlation ◽  
Conservation Law ◽  
Hamiltonian Dynamics ◽  
Coupled Systems ◽  
The Other ◽  
Two Dimensional ◽  
Coherent Vortices ◽  
Fluid Particles

AbstractOrdinary two-dimensional turbulence corresponds to a Hamiltonian dynamics that conserves energy and the vorticity on fluid particles. This paper considers coupled systems of two-dimensional turbulence with three distinct governing dynamics. One is a Hamiltonian dynamics that conserves the vorticity on fluid particles and a quantity analogous to the energy that causes the system members to develop a strong correlation in velocity. The other two dynamics considered are non-Hamiltonian. One conserves the vorticity on particles but has no conservation law analogous to energy conservation; the other conserves energy and enstrophy but it does not conserve the vorticity on fluid particles. The coupled Hamiltonian system behaves like two-dimensional turbulence, even to the extent of forming isolated coherent vortices. The other two dynamics behave very differently, but the behaviours of all four dynamics are accurately predicted by the methods of equilibrium statistical mechanics.

A New Highway Safety Model Based on Cellular Automata

2014 ◽  
Vol 989-994 ◽  
pp. 2340-2343
Author(s):  
Li Xing Li
Keyword(s):  
Cellular Automata ◽  
Energy Conservation ◽  
Traffic Safety ◽  
Conservation Law ◽  
Highway Safety ◽  
Traffic Density ◽  
New Model ◽  
The Road ◽  
The Right ◽  
Energy Conservation Law

With the growth of the total mileage of highway. There is great importance in studying highway safety. At the present time, there are little research on traffic safety with the consideration of the Keep-Right-Except-To-Pass Rule, which requires drivers to drive in the right-most lane unless they are passing another vehicle. Based on Cellular Automata, this paper constructs a new model of highway safety with the consideration of the particular Rule. To evaluate the safety of the road, the model proposes a new index based on energy conservation law. After the simulation, the result shows the best traffic density to balance the safety and traffic flux is 20.1133veh/km.

scholarly journals Local energy conservation law for a spatially-discretized Hamiltonian Vlasov-Maxwell system

2017 ◽  
Vol 24 (6) ◽  
pp. 062112 ◽  
Author(s):  
Jianyuan Xiao ◽  
Hong Qin ◽  
Jian Liu ◽  
Ruili Zhang
Keyword(s):  
Energy Conservation ◽  
Conservation Law ◽  
Local Energy ◽  
Maxwell System ◽  
Energy Conservation Law
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