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We propose a method to obtain the thermal-equilibrium density matrix of a many-body quantum system using artificial neural networks. The variational function of the many-body density matrix is represented by a convolutional neural network…

无序系统与神经网络 · 物理学 2020-03-18 Naoki Irikura , Hiroki Saito

Quantum statistical mechanics allows us to extract thermodynamic information from a microscopic description of a many-body system. A key step is the calculation of the density of states, from which the partition function and all…

量子物理 · 物理学 2025-07-24 Alessandro Summer , Cecilia Chiaracane , Mark T. Mitchison , John Goold

We describe a quantum algorithm to compute the density of states and thermal equilibrium properties of quantum many-body systems. We present results obtained by running this algorithm on a software implementation of a 21-qubit quantum…

量子物理 · 物理学 2007-05-23 H. De Raedt , A. H. Hams , K. Michielsen , S. Miyashita , K. Saito

We develop a general framework to calculate the many-body density of states (DOS) of isolated and interacting quantum systems. Based on the generalized coherent state formalism and the Simon-Lieb bounds for a quantum partition function, our…

强关联电子 · 物理学 2026-04-17 Deniz Coskun , R. Chitra

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

统计力学 · 物理学 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

Understanding the thermodynamic properties of many-body quantum systems and their emergence from microscopic laws is a topic of great significance due to its profound fundamental implications and extensive practical applications. Recent…

量子物理 · 物理学 2024-09-05 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

Simulating strongly-correlated quantum many-body systems at finite temperatures is a significant challenge in computational physics. In this work, we present a scalable finite-temperature tensor network algorithm for two-dimensional quantum…

强关联电子 · 物理学 2024-09-10 Meng Zhang , Hao Zhang , Chao Wang , Lixin He

The configurational density of states (CDOS) encodes all the relevant thermodynamic information contained in the interaction potentials for statistical mechanical systems. However, its explicit computation is usually a challenge for…

统计力学 · 物理学 2026-04-20 Sergio Davis , Boris Maulén

We propose a method to calculate finite-temperature properties of a quantum many-body system for a microcanonical ensemble by introducing a pure quantum state named here an energy-filtered random-phase state, which is also a potentially…

量子物理 · 物理学 2022-10-06 Kazuhiro Seki , Seiji Yunoki

Simulating time evolution is one of the most natural applications of quantum computers and is thus one of the most promising prospects for achieving practical quantum advantage. Here, we develop quantum algorithms to extract thermodynamic…

量子物理 · 物理学 2026-03-10 Matthew L. Goh , Bálint Koczor

Solving the time-dependent quantum many-body Schr\"odinger equation is a challenging task, especially for states at a finite temperature, where the environment affects the dynamics. Most existing approximating methods are designed to…

量子物理 · 物理学 2024-05-24 Jannes Nys , Zakari Denis , Giuseppe Carleo

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

量子物理 · 物理学 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

We present a holographic quantum simulation algorithm to variationally prepare thermal states of $d$-dimensional interacting quantum many-body systems, using only enough hardware qubits to represent a ($d$-1)-dimensional cross-section. This…

量子物理 · 物理学 2022-10-17 Yuxuan Zhang , Shahin Jahanbani , Daoheng Niu , Reza Haghshenas , Andrew C. Potter

Quantum systems coupled to (non-)Markovian environments attract increasing attention due to their peculiar physical properties. Exciting prospects such as unconventional non-equilibrium phases beyond the Mermin-Wagner limit, or the…

量子物理 · 物理学 2025-09-10 Philipp Westhoff , Mattia Moroder , Ulrich Schollwöck , Sebastian Paeckel

We present a procedure to construct tensor-network representations of many-body Gaussian states efficiently and with a controllable error. These states include the ground and thermal states of bosonic and fermionic quadratic Hamiltonians,…

量子物理 · 物理学 2021-07-21 Alexander Nüßeler , Ish Dhand , Susana F. Huelga , Martin B. Plenio

Due to the presence of strong correlations, theoretical or experimental investigations of quantum many-body systems belong to the most challenging tasks in modern physics. Stimulated by tensor networks, we propose a scheme of constructing…

强关联电子 · 物理学 2017-10-17 Shi-Ju Ran , Angelo Piga , Cheng Peng , Gang Su , Maciej Lewenstein

Nonequilibrium dynamics of quantum many-body systems is challenging for classical computing, providing opportunities for demonstrating practical quantum computational advantage with analogue quantum simulators. Owing to the intimate…

The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. We also show the validity of the…

数学物理 · 物理学 2011-06-27 Jianping Dong

{Many-body quantum states at thermal equilibrium are ubiquitous in nature. Investigating their dynamical properties is a formidable task due to the complexity of the Hilbert space they live in. Quantum computers may have the potential to…

量子物理 · 物理学 2024-07-25 Mirko Consiglio , Tony J. G. Apollaro

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

量子物理 · 物理学 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls
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