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Dynamics of Many-Body Quantum Systems

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (31 March 2021) | Viewed by 4068

Special Issue Editor


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Guest Editor
Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore
Interests: many-body quantum systems; out-of-equilibrium systems; open quantum systems

Special Issue Information

Dear Colleagues,

Thanks to continuous progress in the study of many-body quantum systems, it is now possible to study, both theoretically and experimentally, the dynamics of complex many-body quantum systems to unprecedented levels.

Recent investigations have studied the thermalization properties of many-body systems and their relaxation dynamics. These issues have been investigated with or without the presence of dissipation, and in the latter case, the resulting steady state has attracted significant attention. An important focal point has been the ability to control many-body quantum systems, to generate target states, and to induce the emergence of correlations.

This progress, both for unitary and dissipative systems, would not have been possible without progress in numerical methods and in experiments such as those involving ultracold atoms, trapped ions, superconducting qubits, circuit QED, and solid-state systems.

The aim of this Special Issue is to collate important aspects of this body of knowledge with relevance both from a fundamental and an applied perspective.

Dr. Dario Poletti
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (2 papers)

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Research

12 pages, 1940 KiB  
Article
Giant Spin Current Rectification Due to the Interplay of Negative Differential Conductance and a Non-Uniform Magnetic Field
by Kang Hao Lee, Vinitha Balachandran, Ryan Tan, Chu Guo and Dario Poletti
Entropy 2020, 22(11), 1311; https://doi.org/10.3390/e22111311 - 17 Nov 2020
Cited by 7 | Viewed by 1740
Abstract
In XXZ chains with large enough interactions, spin transport can be significantly suppressed when the bias of the dissipative driving becomes large enough. This phenomenon of negative differential conductance is caused by the formation of two oppositely polarized ferromagnetic domains at the edges [...] Read more.
In XXZ chains with large enough interactions, spin transport can be significantly suppressed when the bias of the dissipative driving becomes large enough. This phenomenon of negative differential conductance is caused by the formation of two oppositely polarized ferromagnetic domains at the edges of the chain. Here, we show that this many-body effect, combined with a non-uniform magnetic field, can allow for a high degree of control of the spin current. In particular, by studying all of the possible shapes of local magnetic fields potentials, we find that a configuration in which the magnetic field points up for half of the chain and down for the other half, can result in giant spin-current rectification, for example, up to 108 for a system with only 8 spins. Our results show clear indications that the rectification can increase with the system size. Full article
(This article belongs to the Special Issue Dynamics of Many-Body Quantum Systems)
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13 pages, 2211 KiB  
Article
Transforming Lindblad Equations into Systems of Real-Valued Linear Equations: Performance Optimization and Parallelization of an Algorithm
by Iosif Meyerov, Evgeny Kozinov, Alexey Liniov, Valentin Volokitin, Igor Yusipov, Mikhail Ivanchenko and Sergey Denisov
Entropy 2020, 22(10), 1133; https://doi.org/10.3390/e22101133 - 6 Oct 2020
Cited by 2 | Viewed by 1912
Abstract
With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian quantum master equations describing the evolution of the system density operators. In this [...] Read more.
With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian quantum master equations describing the evolution of the system density operators. In this paper, we address master equations of the Lindblad form, which are a popular theoretical tools in quantum optics, cavity quantum electrodynamics, and optomechanics. By using the generalized Gell–Mann matrices as a basis, any Lindblad equation can be transformed into a system of ordinary differential equations with real coefficients. Recently, we presented an implementation of the transformation with the computational complexity, scaling as O(N5logN) for dense Lindbaldians and O(N3logN) for sparse ones. However, infeasible memory costs remains a serious obstacle on the way to large models. Here, we present a parallel cluster-based implementation of the algorithm and demonstrate that it allows us to integrate a sparse Lindbladian model of the dimension N=2000 and a dense random Lindbladian model of the dimension N=200 by using 25 nodes with 64 GB RAM per node. Full article
(This article belongs to the Special Issue Dynamics of Many-Body Quantum Systems)
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