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In quantum systems theory one of the fundamental problems boils down to: given an initial state, which final states can be reached by the dynamic system in question. Here we consider infinite dimensional open quantum dynamical systems…

量子物理 · 物理学 2024-03-12 Frederik vom Ende , Gunther Dirr , Michael Keyl , Thomas Schulte-Herbrüggen

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

强关联电子 · 物理学 2010-05-04 Anders W. Sandvik

Extreme-value distributions are studied in the context of a broad range of problems, from the equilibrium properties of low-temperature disordered systems to the occurrence of natural disasters. Our focus here is on the ground-state energy…

无序系统与神经网络 · 物理学 2022-12-02 Wouter Buijsman , Talía L. M. Lezama , Tamar Leiser , Lea F. Santos

Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. In this work, we introduce a novel approach to describe the dynamics of indistinguishable particles in…

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

无序系统与神经网络 · 物理学 2015-09-28 N. Moure , S. Haas , S. Kettemann

We consider the evolution of an initially localized wave packet after a sudden change in the Hamiltonian, i.e.\ a quench. When both bound and scattering eigenstates exist in the post-quench Hamiltonian, one might expect partial…

量子气体 · 物理学 2014-11-26 Elmer V. H. Doggen , Jami J. Kinnunen

Going beyond the currently investigated regimes in experiments on quantum transport of ultracold atoms in disordered potentials, we predict a crossover between regular and quantum-chaotic dynamics when varying the strength of disorder. Our…

无序系统与神经网络 · 物理学 2008-04-16 Pierfrancesco Buonsante , Sandro Wimberger

We consider particle systems that evolve by inertialess binary interaction through general non-attractive kernels of singularity $|x|^{-\alpha}$ with $\alpha<d-1$. We prove a quantitative mean-field limit in terms of Wasserstein distances…

偏微分方程分析 · 数学 2025-09-18 Richard M. Höfer , Richard Schubert

In this paper, the dynamical behaviour of the geometric discord of a system consisting of a two-level atom interacting with a quantised radiation field described by the Jaynes-Cummings model has been studied. The evolution of the system has…

量子物理 · 物理学 2015-06-19 Sina Hamedani Raja , Hamidreza Mohammadi , S. Javad Akhtarshenas

We consider quantum phases of tightly-confined spin-2 bosons in an external field under the presence of rotationally-invariant interactions. Generalizing previous treatments, we show how this system can be mapped onto a quantum rotor model.…

量子气体 · 物理学 2016-08-10 Matjaž Payrits , Ryan Barnett

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

无序系统与神经网络 · 物理学 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

We explore the effectiveness of variational quantum circuits in simulating the ground states of quantum many-body Hamiltonians. We show that generic high-depth circuits, performing a sequence of layer unitaries of the same form, can…

量子物理 · 物理学 2021-06-16 Joonho Kim , Jaedeok Kim , Dario Rosa

We consider a quantum many-body system on a lattice with a continuous symmetry which exhibits a spontaneous symmetry breaking in its infinite volume ground states, but in which the order operator does not commute with the Hamiltonian. A…

统计力学 · 物理学 2009-10-30 Tohru Koma , Hal Tasaki

We study the chaotic behavior of multidimensional Hamiltonian systems in the presence of nonlinearity and disorder. It is known that any localized initial excitation in a large enough linear disordered system spreads for a finite amount of…

混沌动力学 · 物理学 2021-05-11 Bertin Many Manda

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

强关联电子 · 物理学 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

At the quantum many-body level, atom-light interfaces generally remain challenging to solve for or understand in a non-perturbative fashion. Here, we consider a waveguide quantum electrodynamics model, where two-level atoms interact with…

量子物理 · 物理学 2021-09-15 Nikos Fayard , Loïc Henriet , Ana Asenjo-Garcia , Darrick Chang

The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The…

介观与纳米尺度物理 · 物理学 2012-05-08 Feng Lu , Yuan Zhou , Jin An , Chang-De Gong

We study a quantum mechanical system consisting of up to three identical dipoles confined to move along a helical shaped trap. The long-range interactions between particles confined to move in this one dimension leads to an interesting…

量子物理 · 物理学 2016-08-17 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

强关联电子 · 物理学 2009-11-10 C. D. Batista , S. A. Trugman

We consider in this work a model conservative system subject to dissipation and Gaussian-type stochastic perturbations. The original conservative system possesses a continuous set of steady states, and is thus degenerate. We characterize…

概率论 · 数学 2019-02-26 Wenqing Hu