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We derive a number of exact relations between equilibrium and nonequilibrium quantities for spin glasses in external fields using the Jarzynski equality and gauge symmetry. For randomly-distributed longitudinal fields, a lower bound is…

Disordered Systems and Neural Networks · Physics 2015-05-27 Masayuki Ohzeki , Hitoshi Katsuda , Hidetoshi Nishimori

We address the issue of accurately treating interaction effects in the mesoscopic regime by investigating the ground state properties of isolated irregular quantum dots. Quantum Monte Carlo techniques are used to calculate the distributions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , C. J. Umrigar , Hong Jiang , Denis Ullmo , Harold U. Baranger

Equilibrium statistical ensembles impose stringent constraints on phases of quantum matter. For example, the Mermin-Wagner theorem prohibits long-range order in low-dimensional systems beyond the ground state. Here, we show that quantum…

Quantum Physics · Physics 2026-02-20 Fabian Ballar Trigueros , Markus Heyl

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

Quantum Physics · Physics 2009-10-30 L. Diosi , J. J. Halliwell

In this paper, we analyze classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open or closed-loop feedback evolution of a control…

Optimization and Control · Mathematics 2020-06-12 Mauricio Contreras G. , Marcelo Villena

Ensemble inequivalence, i.e. the possibility of observing different thermodynamic properties depending on the statistical ensemble which describes the system, is one of the hallmarks of long-range physics, which has been demonstrated in…

Statistical Mechanics · Physics 2024-08-15 Nicolò Defenu , David Mukamel , Stefano Ruffo

We study finite size effects in a family of systems in which a parameter controls interaction-range. In the long-range regime where the infinite-size free energy is universal, we show that the finite size effects are not universal but…

Statistical Mechanics · Physics 2009-11-11 Shin-itiro Goto , Yoshiyuki Y. Yamaguchi

A quantum spin-$\frac{1}{2}$ chain with an axial symmetry is normally described by quasiparticles associated with the spins oriented along the axis of rotation. Kinetic constraints can enrich such a description by setting apart different…

Quantum Physics · Physics 2024-04-25 Maurizio Fagotti

By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales…

Statistical Mechanics · Physics 2018-03-06 Markus Karl , Halil Cakir , Jad C. Halimeh , Markus K. Oberthaler , Michael Kastner , Thomas Gasenzer

A simple modification of the standard Renormalization Group (RG) technique for the study of quantum spin systems is introduced. Our method which takes into account the effect of boundary conditions by employing the concept of superblock,…

Statistical Mechanics · Physics 2008-02-03 A. Langari , V. Karimipour

Long-range interactions are the source of many equilibrium and out-of-equilibrium quantum many-body phenomena. Analog simulators based on ionic, atomic, superconducting, and molecular systems provide a natural platform to obtain these…

We study a composite quantum quench of the energy gap and the interactions in the interacting \phi^4 model using a self-consistent approximation. Firstly we review the results for free theories where a quantum quench of the energy gap or…

Quantum Physics · Physics 2014-11-20 Spyros Sotiriadis , John Cardy

The effective Heisenberg interaction of long distance is constructed in spin qubits connected to a bus of two strongly coupled chains. Universal quantum computation can be realized on the basis of the bus which always keeps frozen at the…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu

We investigate a two-level system in resonant contact with a larger environment. The environment typically is in a canonical state with a given temperature initially. Depending on the precise spectral structure of the environment and the…

Quantum Physics · Physics 2009-11-13 Harry Schmidt , Guenter Mahler

A variety of quantum gravity models (including spin foams) can be described using a path integral formulation. A path integral has a well-known statistical mechanical interpretation in connection with a canonical ensemble. In this sense, a…

General Physics · Physics 2016-02-23 Pierre A. Mandrin

Quantum correlation of bipartite states (beyond entanglement) in presence of environment is studied for Heisenberg XYZ spin system. It is shown that if the system is allowed to exchange energy with environment, the initial state evolves and…

Quantum Physics · Physics 2020-03-24 Indrajith. V. S , R. Sankaranarayanan

An ensemble of noble-gas nuclear spins is a unique quantum system that could maintain coherence for many hours at room temperature and above, owing to exceptional isolation from the environment. This isolation, however, is a mixed blessing,…

Quantum Physics · Physics 2022-01-11 Or Katz , Roy Shaham , Ofer Firstenberg

We characterize the universal far-from-equilibrium dynamics of the two-dimensional quantum Heisenberg magnet isolated from its environment. For a broad range of initial conditions, we find a long-lived universal prethermal regime…

Statistical Mechanics · Physics 2022-07-07 Joaquin F. Rodriguez-Nieva , Asier Piñeiro Orioli , Jamir Marino

Competition between short- and long-range interactions underpins many emergent phenomena in nature. Despite rapid progress in their experimental control, computational methods capable of accurately simulating open quantum many-body systems…

Quantum Physics · Physics 2026-02-11 Dawid A. Hryniuk , Marzena H. Szymańska

Two simple spin models are studied to show that the microcanonical entropy can be a non-concave function of the energy, and that the microcanonical and canonical ensembles can give non-equivalent descriptions of the same system in the…

Statistical Mechanics · Physics 2008-01-24 Hugo Touchette