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Nonequilibrium dynamics of an isolated quantum spin chain with long-range Ising interactions that decay as $1/r^\alpha$ ($0<\alpha<1$) with the distance $r$ is studied. It turns out that long-range interactions give rise to a big timescale…

Statistical Mechanics · Physics 2019-05-22 Takashi Mori

Common intuition tells us that if one part of a connected system is cooled continuously, the other parts should also cool down. This intuition can be given a microscopic foundation for the case of a generic quantum system coupled to a…

Statistical Mechanics · Physics 2024-12-11 Jaswanth Uppalapati , Paul A McClarty , Masudul Haque , Shovan Dutta

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

For an isolated generic quantum system out of equilibrium, the long time average of observables is given by the diagonal ensemble, i.e. the mixed state with the same probability for energy eigenstates as the initial state but without…

Quantum Physics · Physics 2021-03-17 Aslı Çakan , J. Ignacio Cirac , Mari Carmen Bañuls

Energy-filtered quantum states are promising candidates for efficiently simulating thermal states. We explore a protocol designed to transition a product state into an eigenstate located in the middle of the spectrum; this is achieved by…

Quantum Physics · Physics 2025-01-17 Gianluca Morettini , Luca Capizzi , Maurizio Fagotti , Leonardo Mazza

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

An effective field theory is derived for the ferromagnetic transition of diffusive electrons at T=0. The static disorder which leads to diffusive electron dynamics induces an effective long-range interaction between the spins of the form…

Statistical Mechanics · Physics 2016-08-31 D. Belitz , T. R. Kirkpatrick

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

Strongly Correlated Electrons · Physics 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

We extend the recently introduced strong disorder renormalization group method in real space, well suited to study bond disordered antiferromagnetic power law coupled quantum spin chains, to study excited states, and finite temperature…

Disordered Systems and Neural Networks · Physics 2026-04-23 Stefan Kettemann

The purpose of the present paper is two-fold. On the one hand, we review some recent studies on the low-temperature strong-field thermodynamic properties of frustrated quantum spin antiferromagnets which admit the so-called localized-magnon…

Strongly Correlated Electrons · Physics 2007-10-15 Oleg Derzhko , Johannes Richter , Andreas Honecker , Heinz-Jürgen Schmidt

We study thermodynamic behaviors of the antiferromagnetic zigzag spin chain in magnetic fields, using the density-matrix renormalization group method for the quantum transfer matrix. We focus on the thermodynamics of the system near the…

Statistical Mechanics · Physics 2009-10-31 Nobuya Maeshima , Kouichi Okunishi

We perform numerical simulations of the 2-d antiferromagnetic quantum Heisenberg model using an efficient cluster algorithm. Comparing the finite size and finite temperature effects of various quantities with recent results from chiral…

Condensed Matter · Physics 2007-05-23 U. -J. Wiese , H. -P. Ying

This paper tests how effectively the bound states of strongly interacting gauge theories are amenable to an emergent description as a thermal ensemble. This description can be derived from a conjectured minimum free energy principle, with…

Nuclear Theory · Physics 2023-04-05 Pouya Asadi , Varun Vaidya

Diluted Ising antiferromagnets in a homogenous magnetic field have a disordered phase for sufficiently large values of the field and for low temperatures. Here, the system is in a domain state with a broad size-distribution of fractal…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. Staats , U. Nowak , K. D. Usadel

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

The density matrix renormalization group (``DMRG'') discovered by White has shown to be a powerful method to understand the properties of many one dimensional quantum systems. In the case where renormalization eventually converges to a…

Condensed Matter · Physics 2016-08-31 Stellan Ostlund , Stefan Rommer

Thermal behavior in subsystems of closed quantum systems is commonly attributed to dynamical chaos, quantum ergodicity, canonical typicality, or the eigenstate thermalization hypothesis, suggesting a fundamentally statistical origin of…

Quantum Physics · Physics 2026-04-13 Uttam Singh , Nicolas J. Cerf

We study low-energy excitations in antiferromagnetic Heisenberg chains with a staggered field which splits the spectrum into a longitudinal and a transverse branch. Bound states are found to exist inside the field induced gap in both…

Strongly Correlated Electrons · Physics 2011-02-19 Jizhong Lou , Changfeng Chen , Jize Zhao , Xiaoqun Wang , Tao Xiang , Zhaobin Su , Lu Yu