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Determining the Markovianity and non-Markovianity of a quantum process is a critical problem in the theory of open quantum systems, as their behaviors differ significantly in terms of complexity. It is well recognized that a quantum process…

Quantum Physics · Physics 2023-10-30 Le Hu , Andrew N. Jordan

Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach…

Quantum Physics · Physics 2023-01-13 Si-Ying Wang , Qinghong Yang , Fu-Lin Zhang

We provide a rigorous construction of Markovian master equations for a wide class of quantum systems that encompass quadratic models of finite size, linearly coupled to an environment modeled by a set of independent thermal baths. Our…

Quantum Physics · Physics 2021-05-18 Antonio D'Abbruzzo , Davide Rossini

High fidelity models, which support accurate device characterization and correctly account for environmental effects, are crucial to the engineering of scalable quantum technologies. As it ensures positivity of the density matrix, one…

Quantum Physics · Physics 2017-11-01 S. N. A. Duffus , V. M. Dwyer , M. J. Everitt

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a…

Strongly Correlated Electrons · Physics 2018-05-22 Fabien Alet , Nicolas Laflorencie

Over the last decade, systems of individually-controlled neutral atoms, interacting with each other when excited to Rydberg states, have emerged as a promising platform for quantum simulation of many-body problems, in particular spin…

Quantum Gases · Physics 2020-02-19 Antoine Browaeys , Thierry Lahaye

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum…

Quantum Physics · Physics 2018-02-05 Victor V. Albert

In quantum statistical mechanics, closed many-body systems that do not exhibit thermalization after an arbitrarily long time in spite of the presence of interactions are called as many-body localized systems, and recently have been…

High Energy Physics - Theory · Physics 2018-12-14 Fumihiko Sugino , Pramod Padmanabhan

The theory of open quantum system is one of the most essential tools for the development of quantum technologies. Furthermore, the Lindblad (or Gorini-Kossakowski-Sudarshan-Lindblad) Master Equation plays a key role as it is the most…

Quantum Physics · Physics 2020-02-06 Daniel Manzano

Quantum master equations form an important tool in the description of transport problems in open quantum systems. However, they suffer from the difficulty that the shape of the Lindblad dissipator depends sensibly on the system Hamiltonian.…

Statistical Mechanics · Physics 2017-02-01 Jader P. Santos , Gabriel T. Landi

Quantum many-body systems serve as a suitable working medium for realizing quantum thermal machines (QTMs) by offering distinct advantages such as cooperative many-body effects, and performance boost at the quantum critical points. However,…

Quantum Physics · Physics 2024-05-01 Saikat Sur , Pritam Chattopadhyay , Madhuparna Karmakar , Avijit Misra

We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom interacting through collisions with a background ideal gas. When either…

Quantum Physics · Physics 2010-10-27 Andrea Smirne , Bassano Vacchini

We study the dynamics of a complex open quantum many-body system. The coupling to external degrees of freedom can be viewed as a coupling to a radiation field, to continuum states or to a measuring apparatus. This perturbation is treated in…

Quantum Physics · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

When atoms are excited to high-lying Rydberg states they interact strongly with dipolar forces. The resulting state-dependent level shifts allow to study many-body systems displaying intriguing nonequilibrium phenomena, such as constrained…

Quantum Physics · Physics 2024-09-04 Chris Nill , Kay Brandner , Beatriz Olmos , Federico Carollo , Igor Lesanovsky

We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representation of a mixed quantum state are adapted dynamically…

Strongly Correlated Electrons · Physics 2021-12-03 Moritz Reh , Markus Schmitt , Martin Gärttner

We study the Lindblad master equation in the space of operators and provide simple criteria for closeness of the hierarchy of equations for correlations. We separately consider the time evolution of closed and open systems and show that…

Quantum Physics · Physics 2015-06-17 Bojan Žunkovič

We examine the effectiveness of Lindblad master equation in capturing the short-time dynamics of entanglement and purity in open quantum systems. Focusing on two interacting two-level systems interacting with a larger environment, we…

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

Quantum Physics · Physics 2018-09-26 Zhu Ruan , Roi Baer

We introduce an open-source solver for the Lindblad master equation, based on matrix product states and matrix product operators. Using this solver we study the dynamics of tens of interacting qubits with different connectivities, focusing…

Quantum Physics · Physics 2022-11-15 H. Landa , G. Misguich

We put forth a new class of quantum master equations that correctly reproduce the asymptotic state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of…

Quantum Physics · Physics 2022-11-10 Tobias Becker , Alexander Schnell , Juzar Thingna
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