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We introduce an intermediate quantum computing model built from translation-invariant Ising-interacting spins. Despite being non-universal, the model cannot be classically efficiently simulated unless the polynomial hierarchy collapses.…

Quantum Physics · Physics 2017-02-01 Xun Gao , Sheng-Tao Wang , Lu-Ming Duan

We consider the use of quantum noise to characterize many-body states of spin systems realized with ultracold atomic systems. These systems offer a wealth of experimental techniques for realizing strongly interacting many-body states in a…

Strongly Correlated Electrons · Physics 2009-11-11 R. W. Cherng , Eugene Demler

We present a history-dependent Monte Carlo scheme for the efficient calculation of the free-energy of quantum systems, inspired by the Wang-Landau sampling and metadynamics method. When embedded in a path integral formulation, it is of…

Statistical Mechanics · Physics 2009-04-08 Yanier Crespo , Alessandro Laio , Giuseppe E. Santoro , Erio Tosatti

Quantum critical points ubiquitously emerge in strongly correlated systems, with their influence persisting at finite temperatures and external fields. A paradigmatic example is the quantum Ising magnet, where transverse field $g$…

Strongly Correlated Electrons · Physics 2025-12-08 Enze Lv , Ning Xi , Yuliang Jin , Wei Li

The strongest evidence for superiority of quantum annealing on spin glass problems has come from comparing simulated quantum annealing using quantum Monte Carlo (QMC) methods to simulated classical annealing [G. Santoro et al., Science 295,…

Disordered Systems and Neural Networks · Physics 2015-08-19 Bettina Heim , Troels F. Rønnow , Sergei V. Isakov , Matthias Troyer

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

The quantum measurement problem is revisited and discussed in terms of a new solvable measurement model which basic ingredient is the quantum model of a controlled single-bit memory. The structure of this model involving strongly coupled…

Quantum Physics · Physics 2013-05-22 Robert Alicki

The standard approach for path integral Monte Carlo simulations of open quantum systems is extended as an efficient tool to monitor the time evolution of coherences (off-diagonal elements of the reduced density matrix) also for strong…

Statistical Mechanics · Physics 2015-06-12 Denis Kast , Joachim Ankerhold

The dynamical evolution of neutrino flavor in supernovae can be modeled by an all-to-all spin Hamiltonian with random couplings. Simulating such two-local Hamiltonian dynamics remains a major challenge, as methods with controllable accuracy…

Quantum Physics · Physics 2025-10-30 Oriel Kiss , Ivano Tavernelli , Francesco Tacchino , Denis Lacroix , Alessandro Roggero

The real time evolution of two pieces of quantum insulators, initially at different temperatures, is studied when they are glued together. Specifically, each subsystem is taken as a Bose-Hubbard model in a Mott insulator state. The process…

Quantum Gases · Physics 2015-04-28 Mateusz Łącki , Dominique Delande , Jakub Zakrzewski

A quantum simulator is a restricted class of quantum computer that controls the interactions between quantum bits in a way that can be mapped to certain difficult quantum many-body problems. As more control is exerted over larger numbers of…

Quantum Physics · Physics 2018-02-07 J. Zhang , G. Pagano , P. W. Hess , A. Kyprianidis , P. Becker , H. Kaplan , A. V. Gorshkov , Z. -X. Gong , C. Monroe

The thinning method for numerical generation of the nonhomogeneous Poisson process (NHPP) arrival times has been adapted to accelerate Monte Carlo simulations of the kinetic Ising models (KIMs) with the Glauber spin-flip dynamics. The…

Statistical Mechanics · Physics 2025-06-02 V. I. Tokar , H. Dreyssé

Modeling the dynamics of a quantum system connected to the environment is critical for advancing our understanding of complex quantum processes, as most quantum processes in nature are affected by an environment. Modeling a macroscopic…

This article presents numerical recipes for simulating high-temperature and non-equilibrium quantum spin systems that are continuously measured and controlled. The notion of a spin system is broadly conceived, in order to encompass…

It is by now well-known that ground states of gapped one-dimensional (1d) quantum-many body systems with short-range interactions can be studied efficiently using classical computers and matrix product state techniques. A corresponding…

Quantum Physics · Physics 2017-08-31 Thomas Barthel

We propose a new efficient scheme for the quantum Monte Carlo study of quantum critical phenomena in quantum spin systems. Rieger and Young's Trotter-number-dependent finite-size scaling in quantum spin systems and Ito {\it et al.}'s…

Statistical Mechanics · Physics 2009-10-31 Yoshihiko Nonomura

We investigate a quantum Otto engine with a quantum Ising spin glass as the working medium to explore the scaling behavior of work output and thermodynamic performance concerning system size, particularly near the critical point.…

Quantum Physics · Physics 2024-05-07 Aslı Tuncer , Batu Yalçın

In this letter, we provide analytical and numerical evidence that the single-layer Quantum Approximate Optimization Algorithm (QAOA) on universal Ising spin models produces thermal-like states. We find that these pseudo-Boltzmann states can…

Quantum Physics · Physics 2023-02-06 Pablo Díez-Valle , Diego Porras , Juan José García-Ripoll

In this work, we present a compact analytical approximation for the quantum partition function of systems composed of quantum oscillators. The proposed formula is general and applicable to an arbitrary number of oscillators described by a…

Statistical Mechanics · Physics 2025-07-08 Michel Caffarel

We describe a new direct method to estimate bipartite mutual information of a classical spin system based on Monte Carlo sampling enhanced by autoregressive neural networks. It allows studying arbitrary geometries of subsystems and can be…

Statistical Mechanics · Physics 2023-10-27 Piotr Białas , Piotr Korcyl , Tomasz Stebel
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