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We find a new physical regime in the trapped Bose-Hubbard Hamiltonian using time-evolving block decimation. Between Mott-insulating and superfluid phases, the latter induced by trap compression, a spatially self-organized state appears in…

Quantum Gases · Physics 2009-06-26 Lincoln D. Carr , Markus K. Oberthaler

We formulate and study a stochastic model for the thermally-driven motion of interacting straight screw dislocations in a cylindrical domain with a convex polygonal cross-section. Motion is modelled as a Markov jump process, where waiting…

Analysis of PDEs · Mathematics 2017-01-18 Thomas Hudson

We demonstrate analytically and numerically that in isolated quantum systems of many interacting particles, the number of many-body states participating in the evolution after a quench increases exponentially in time, provided the…

Statistical Mechanics · Physics 2019-04-01 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

Most of our current understanding of phase separation is based on ideas that disregard correlaions. Here we illuminate unexpected effects of correlations on the structure and thermodynamics of interfaces and in turn phase separation, which…

Statistical Mechanics · Physics 2024-03-15 Kristian Blom , Noah Ziethen , David Zwicker , Aljaž Godec

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

Quantum Physics · Physics 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

We study the pairwise entanglement close to separable ground states of a class of one dimensional quantum spin models. At T=0 we find that such ground states separate regions, in the space of the Hamiltonian parameters, which are…

Statistical Mechanics · Physics 2009-11-11 L. Amico , F. Baroni , A. Fubini , D. Patane' , V. Tognetti , P. Verrucchi

We evaluate one-interval R\'enyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (CFT) on a cylinder, and examine their differences from the ones for the thermal state. We assume the…

High Energy Physics - Theory · Physics 2016-11-29 Feng-Li Lin , Huajia Wang , Jia-ju Zhang

Local excitations as carriers of quantum information spread out in the system in ways governed by the underlying interaction and symmetry. Understanding this phenomenon, also called quantum scrambling, is a prerequisite for employing…

Strongly Correlated Electrons · Physics 2021-12-21 M. Sekania , M. Melz , N. Sedlmayr , Sunil K. Mishra , J. Berakdar

Can the properties of the thermodynamic limit of a many-body quantum system be extrapolated by analysing a sequence of finite-size cases? We present a model for which such an approach gives completely misleading results: a translationally…

Quantum Physics · Physics 2018-02-06 Johannes Bausch , Toby S. Cubitt , Angelo Lucia , David Perez-Garcia , Michael M. Wolf

We investigate the hydrodynamic solutions for expanding bubbles in cosmological first-order phase transitions going beyond local thermal equilibrium approximation. Under the assumption of a tangenosidal field profile, we supplement the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Tomasz Krajewski , Marek Lewicki , Ignacy Nałęcz , Mateusz Zych

OTOC has been used to characterize the information scrambling in quantum systems. Recent studies showed that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In…

Statistical Mechanics · Physics 2023-01-11 Vinitha Balachandran , Dario Poletti

A powerful perspective in understanding non-equilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, not much else is known about…

Strongly Correlated Electrons · Physics 2020-03-18 W. Zhu , Zhoushen Huang , Yin-Chen He , Xueda Wen

Higher-dimensional topological meta-materials have more flexible than one-dimensional topological materials, which are more convenient to apply and solve practical problems. However, in diffusion systems, higher-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Minghong Qi , Yanxiang Wang , Pei-Chao Cao , Xue-Feng Zhu , Fei Gao , Hongsheng Chen , Ying Li

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential and focus on paramagnetic effects of the external magnetic field. The Hamiltonian considered consists of…

Strongly Correlated Electrons · Physics 2013-01-22 Konrad Kapcia , Stanisław Robaszkiewicz

We address the question of the relevance of thermalization to the increase of correlations in the quench dynamics of an isolated system with a finite number of interacting bosons. Specifically, we study how, in the process of…

Statistical Mechanics · Physics 2019-01-16 Fausto Borgonovi , Felix M. Izrailev

We study thermodynamic properties of the two-dimensional (2D) Falicov-Kimball model in the presence of external magnetic field perpendicular to the lattice. The field is taken into account by the Peierls substitution in the hopping term. In…

Strongly Correlated Electrons · Physics 2010-11-15 Maciej Wrobel , Marcin Mierzejewski , Maciej M. Maska

Quantum sensing leverages quantum resources to surpass the standard quantum limit, yet many existing protocols rely on the preparation of complex entangled states and Hamiltonian engineering, posing challenges for universality and…

In this paper, we study large time asymptotic behavior of the elastic displacement $u$ and the temperature difference $\theta$ for the thermoelastic systems of type II and type III in the whole space $\mathbb{R}^n$ without using the thermal…

Analysis of PDEs · Mathematics 2025-12-02 Wenhui Chen , Ryo Ikehata

We derive an asymptotic expansion for two-dimensional displacement field associated to thin elastic inhomogeneities having no uniform thickness. Our derivation is rigorous and based on layer potential techniques. We extend these techniques…

Analysis of PDEs · Mathematics 2016-01-27 Jihene Lagha , Habib Zribi

Topological effects in edge states are clearly visible on short lengths only, thus largely impeding their studies. On larger distances, one may be able to dynamically enhance topological signatures by exploiting the high mobility of edge…