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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…

强关联电子 · 物理学 2021-12-03 Moritz Reh , Markus Schmitt , Martin Gärttner

The problem of construction of a quantum master equation for a system of sites weakly coupled to each other and to one or more reservoirs (open quantum network) is considered. Microscopic derivation of a quantum master equation requires a…

量子物理 · 物理学 2016-07-27 A. S. Trushechkin , I. V. Volovich

An extended variational principle providing the equations of motion for a system consisting of interacting classical, quasiclassical and quantum components is presented, and applied to the model of bilinear coupling. The relevant dynamical…

量子物理 · 物理学 2009-11-13 M. Grigorescu

We present the time dynamics of twisted quantum states. We find an explicit connection between the well-known stationary Landau state and an evolving twisted state, even when the Hamiltonian accounts for linear energy dissipation. Utilizing…

量子物理 · 物理学 2023-09-06 N. V. Filina , S. S. Baturin

Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to…

New variational ansatz for the large-radius Fr\"ohlich polaron is considered. The corresponding operator estimation for the energy of polaron proves to be very similar to the result found by Feynman on the basis of the variational principle…

强关联电子 · 物理学 2007-05-23 I. D. Feranchuk , L. I. Komarov

We consider Markovian open quantum dynamics with weak unitary symmetries. Starting from the quantum master equation for the system alone, it is known that the joint dynamics of the system and its environment can be obtained by dilation,…

量子物理 · 物理学 2025-06-25 Calum A. Brown , Robert L. Jack , Katarzyna Macieszczak

In this article we investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and non-collective dissipators. Exploiting the permutation symmetry in our model, we…

量子物理 · 物理学 2021-02-03 Konrad Merkel , Valentin Link , Kimmo Luoma , Walter T. Strunz

In this study, we address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust…

量子物理 · 物理学 2024-08-20 Loris Maria Cangemi , Hilario Espinós , Ricardo Puebla , Erik Torrontegui , Amikam Levy

Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the…

适应与自组织系统 · 物理学 2015-01-19 Artemy Kolchinsky , Luis M. Rocha

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

数学物理 · 物理学 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

Many optically active systems possess spatially asymmetric electron orbitals. These generate permanent dipole moments, which can be stronger than the corresponding transition dipole moments, significantly affecting the system dynamics and…

量子物理 · 物理学 2023-04-21 Adam Burgess , Marian Florescu , Dominic Michael Rouse

A novel quantum dynamical model based on the dissipative quantum dynamics of open quantum systems is presented. It allows the treatment of both deep-inelastic processes and quantum tunneling (fusion) within a fully quantum mechanical…

The process of finding activated transitions in localized spin systems with continuous degrees of freedom is developed based on a magnetic variant of the Activation-Relaxation Technique (mART). In addition to the description of the method…

其他凝聚态物理 · 物理学 2023-11-20 H. Bocquet , P. M. Derlet

Exact and nonperturbative quantum master equation can be constructed via the calculus on path integral. It results in hierarchical equations of motion for the reduced density operator. Involved are also a set of well--defined auxiliary…

统计力学 · 物理学 2015-05-13 Jian Xu , Rui-Xue Xu , YiJing Yan

We introduce a unified formulation of variational methods for simulating ground state properties of quantum many-body systems. The key feature is a novel variational method over quantum circuits via infinitesimal unitary transformations,…

量子物理 · 物理学 2009-11-13 Christopher M. Dawson , Jens Eisert , Tobias J. Osborne

When an optical emitter is strongly coupled to a vibrational bath the polaron transformation is often used to permit an accurate second-order Redfield master equation. However, the optical transition rates in the polaron frame are not…

量子物理 · 物理学 2022-01-19 Dominic M Rouse , Erik M Gauger , Brendon W Lovett

We present a new paradigm for the dynamical simulation of interacting many-boson open quantum systems. The method relies on a variational ansatz for the $n$-boson density matrix, in terms of a superposition of photon-added coherent states.…

量子物理 · 物理学 2023-06-27 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona

The transformer architecture, known for capturing long-range dependencies and intricate patterns, has extended beyond natural language processing. Recently, it has attracted significant attention in quantum information and condensed matter…

量子物理 · 物理学 2025-08-08 Lu Wei , Zhian Jia , Yufeng Wang , Dagomir Kaszlikowski , Haibin Ling

We explore the promising performance of a transformer model in predicting outputs of parametric dynamical systems with external time-varying input signals. The outputs of such systems vary not only with physical parameters but also with…

机器学习 · 计算机科学 2025-05-02 Shuwen Sun , Lihong Feng , Peter Benner