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We show experimental results demonstrating multiple rounds of heat-bath algorithmic cooling in a 3 qubit solid-state nuclear magnetic resonance quantum information processor. By dynamically pumping entropy out of the system of interest and…

Quantum Physics · Physics 2009-11-13 C. A. Ryan , O. Moussa , J. Baugh , R. Laflamme

In this micro-canonical simulation the temperature and also the specific heat are determined as averages of expressions easy to implement. The XY-chain is studied for a test. The second order transition on a cubic lattice and the first…

Statistical Mechanics · Physics 2009-11-07 Wira B. Nurdin , Klaus-Dieter Schotte

We consider a class of non-standard, two-dimensional (2D) Hamiltonian models that may show features of active particle dynamics, and therefore, we refer to these models as active Hamiltonian (AH) systems. The idea is to consider a spin…

Statistical Mechanics · Physics 2024-09-24 Antik Bhattacharya , Jürgen Horbach , Smarajit Karmakar

In modern lattice simulations, conventional update algorithms do not allow for tunneling between topological sectors at fine lattice spacings. We compare the viability of multiple less commonly used algorithms (metadynamics, instanton…

High Energy Physics - Lattice · Physics 2025-03-14 Timo Eichhorn , Christian Hoelbling

Problems of temperature behavior of specific heat are solved by the entropy simulation method for Ising models on a simple square lattice and a square spin ice (SSI) lattice with nearest neighbor interaction, models of hexagonal lattices…

Disordered Systems and Neural Networks · Physics 2018-01-11 Yu. A. Shevchenko , A. G. Makarov , P. D. Andriushchenko , K. V. Nefedev

Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to the Harmonic map heat flow equation. The Gibbs…

Probability · Mathematics 2020-04-10 Yuan Gao , Kay Kirkpatrick , Jeremy Marzuola , Jonathan Mattingly , Katherine Newhall

In this article, we have given a systematic formulation of the new generalized competing mechanism: the Glauber-type single-spin transition mechanism, with probability p, simulates the contact of the system with the heat bath, and the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Han Zhu , Jian-yang Zhu , Yang Zhou

We construct efficient Monte Carlo updating algorithms for two classes of pure SU(N) lattice gauge actions with non-linear dependence on the link variables. Our construction generalises the method of auxiliary variables used by Fabricius…

High Energy Physics - Lattice · Physics 2010-10-08 Helvio Vairinhos

Heat-Bath Algorithmic cooling (HBAC) techniques provide ways to selectively enhance the polarization of target quantum subsystems. However, the cooling in these techniques are bounded. Here we report the first experimental observation of…

We present a hybrid quantum-classical algorithm to simulate thermal states of a classical Hamiltonians on a quantum computer. Our scheme employs a sequence of locally controlled rotations, building up the desired state by adding qubits one…

Quantum Physics · Physics 2015-03-17 Man-Hong Yung , Daniel Nagaj , James D. Whitfield , Alán Aspuru-Guzik

We study the performance of quantum thermal machines in which the working fluid of the model is represented by a many-body quantum system that is periodically connected with external baths via local couplings. A formal characterization of…

Quantum Physics · Physics 2025-05-21 Edoardo Maria Centamori , Michele Campisi , Vittorio Giovannetti

We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a…

chao-dyn · Physics 2009-10-30 Hans Henrik Rugh

Various kinds of Ising machines based on unconventional computing have recently been developed for practically important combinatorial optimization. Among them, the machines implementing a heuristic algorithm called simulated bifurcation…

Statistical Mechanics · Physics 2022-06-16 Taro Kanao , Hayato Goto

We document our Fortran 77 code for multicanonical simulations of 4D U(1) lattice gauge theory in the neighborhood of its phase transition. This includes programs and routines for canonical simulations using biased Metropolis heatbath…

High Energy Physics - Lattice · Physics 2009-12-04 Alexei Bazavov , Bernd A. Berg

Short-time dynamics technique is used to study the relaxation process for the (2+1)-dimensional critical gluodynamics of the SU(2) lattice gauge theory. A generalized class of heat-bath-inspired updating algorithms was employed during the…

High Energy Physics - Lattice · Physics 2014-11-20 Rafael B. Frigori

Nested multi-step stochastic correction offers a possibility to improve updating algorithms for numerical simulations of lattice gauge theories with fermions. The corresponding generalisations of the two-step multi-boson (TSMB) algorithm as…

High Energy Physics - Lattice · Physics 2009-11-11 I. Montvay , E. Scholz

Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating…

Quantum Physics · Physics 2025-12-30 Henry Froland , Dorota M. Grabowska , Zhiyao Li

The high temperature expansion (HTE) of the specific heat of a spin system fails at low temperatures, even if it is combined with a Pad\'e approximation. On the other hand we often have information about the low temperature asymptotics…

Strongly Correlated Electrons · Physics 2017-04-26 Heinz-Jürgen Schmidt , Andreas Hauser , Andre Lohmann , Johannes Richter

Motivated by the sign problem in several systems, we have developed a geometric simulation algorithm based on the strong coupling expansion which can be applied to abelian pure gauge models. We have studied the algorithm in the U(1) model…

High Energy Physics - Lattice · Physics 2010-05-27 Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Alejandro Vaquero

Large N gauge theories with adjoint matter can be numerically studied using lattice techniques. Eguchi-Kawai reductions holds for this theory and one can reduce the lattice model to a single site. Hybrid Monte Carlo algorithm can be used to…

High Energy Physics - Lattice · Physics 2015-03-19 R. Narayanan