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While considering a class of generalized negative binomial states, we verify that the basic minimum properties for these states to be considered as coherent states are satisfied. We particularize them for the case of the Hamiltonian of the…

Mathematical Physics · Physics 2012-06-26 Zouhaïr Mouayn

Oscillator Ising machines (OIMs) are networks of coupled oscillators that seek the minimum energy state of an Ising model. Since many NP-hard problems are equivalent to the minimization of an Ising Hamiltonian, OIMs have emerged as a…

Optimization and Control · Mathematics 2026-02-20 Ahmed Allibhoy , Arthur N. Montanari , Fabio Pasqualetti , Adilson E. Motter

We present a new way to compute thermodynamical observables on the lattice. We compute excited states and thermodynamical functions in the scalar model via the Monte Carlo Hamiltonian technique. We find agreement with standard Lagrangian…

High Energy Physics - Lattice · Physics 2009-11-07 H. Kröger , X. Q. Luo , K. J. M. Moriarty

We study the possibility of taking bosonic systems subject to quadratic Hamiltonians and a noisy thermal environment to non-classical stationary states by feedback loops based on weak measurements and conditioned linear driving. We derive…

Quantum Physics · Physics 2013-04-30 Marco G. Genoni , Stefano Mancini , Alessio Serafini

One-variable thermostats are studied as a generalization of the Nos\'e--Hoover method which is aimed to achieve Gibbs' canonical distribution with conserving the time-reversibility. A condition for equations of motion for the system with…

Statistical Mechanics · Physics 2015-06-25 Hiroshi Watanabe , Hiroto Kobayashi

Linear time invariant (LTI) systems are widely used for modeling system dynamics in science and engineering problems. Harmonic oscillation of LTI systems are widely used for modeling and analyses of periodic physical phenomenon. This study…

Discrete Mathematics · Computer Science 2014-03-17 B. Baykant Alagoz

Thermal transistor is an efficient heat control device which can act as a heat switch as well as a heat modulator. In this paper, we study systematically one-dimensional and two-dimensional thermal transistors. In particular, we show how to…

Statistical Mechanics · Physics 2008-03-21 Wei Chung Lo , Lei Wang , Baowen Li

The success of adiabatic quantum computation (AQC) depends crucially on the ability to maintain the quantum computer in the ground state of the evolution Hamiltonian. The computation process has to be sufficiently slow as restricted by the…

Quantum Physics · Physics 2008-07-31 Man-Hong Yung

Nonlinear dynamical systems such as coupled oscillators are being actively investigated as Ising machines for solving computationally hard problems in combinatorial optimization. Prior works have established the equivalence between the…

Dynamical Systems · Mathematics 2023-01-19 Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Thermalization of a system in the presence of a heat bath has been the subject of many theoretical investigations especially in the framework of solid-state physics. In this setting, the presence of a large bandwidth for the frequency…

Statistical Mechanics · Physics 2015-10-09 Roberto Onofrio , Bala Sundaram

A four stroke quantum engine which alternately interacts with a measurement apparatus and a single heat bath is discussed in detail with respect to the average work and heat as well as to the fluctuations of work and heat. The efficiency…

Statistical Mechanics · Physics 2018-10-18 Xuehao Ding , Juyeon Yi , Yong Woon Kim , Peter Talkner

We analyze the ergodicity of three one-dimensional Hamiltonian systems, with harmonic, quartic and Mexican-hat potentials, coupled to the logistic thermostat. As criteria for ergodicity we employ: the independence of the Lyapunov spectrum…

Statistical Mechanics · Physics 2016-11-17 Diego Tapias , Alessandro Bravetti , David P. Sanders

A thermostat of the Nose-Hoover type, based on relative velocities and a local definition of the temperature, is presented. The thermostat is momentum-conserving and Galilean-invariant, which should make it suitable for use in Dissipative…

Statistical Mechanics · Physics 2007-05-23 Michael P. Allen , Friederike Schmid

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

Quantum Physics · Physics 2018-12-12 Lars Knipschild , Jochen Gemmer

The theory of linear stochastic thermodynamics is developed for periodically driven systems in contact with a single reservoir. Appropriate thermodynamic forces and fluxes are identified, starting from the entropy production for a Markov…

Statistical Mechanics · Physics 2016-02-26 Karel Proesmans , Bart Cleuren , Christian Van den Broeck

We present results concerning aspects of quantum thermodynamics under the background of non-Hermitian quantum mechanics for the dynamics of a quantum harmonic oscillator. Since a better control over the parameters in quantum thermodynamics…

Quantum Physics · Physics 2021-08-04 Jonas F. G. Santos , Fabricio S. Luiz

Electric fields, applied to insulators, cause transitions between valence and conduction bands, giving rise to current. Adjustments of the Hamiltonian can perfect the quality of the insulator, shutting down transitions whilst fully…

Materials Science · Physics 2025-01-28 Rafael Hipolito , Paul M. Goldbart

We study the Hamiltonian system made of weakly coupled anharmonic oscillators arranged on a three dimensional lattice and subjected to a stochastic forcing mimicking heat baths of temperatures T_1 and T_2 on the hyperplanes at x_1=0 and N.…

Mathematical Physics · Physics 2007-05-23 Jean Bricmont , Antti Kupiainen

We show that a recently introduced stochastic thermostat [J. Chem. Phys. 126 (2007) 014101] can be considered as a global version of the Langevin thermostat. We compare the global scheme and the local one (Langevin) from a formal point of…

Computational Physics · Physics 2008-06-06 Giovanni Bussi , Michele Parrinello

Preparing thermal and ground states is an essential quantum algorithmic task for quantum simulation. In this work, we construct the first efficiently implementable and exactly detailed-balanced Lindbladian for Gibbs states of arbitrary…

Quantum Physics · Physics 2025-10-15 Chi-Fang Chen , Michael J. Kastoryano , András Gilyén