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Stunning progresses in the experimental resolution and control of natural or man-made complex systems at the level of their quantum mechanical constituents raises the question, across diverse subdisciplines of physics, chemistry and…

Quantum Physics · Physics 2019-04-26 Edoardo G. Carnio , Heinz-Peter Breuer , Andreas Buchleitner

We consider a family of quantum loop models in 2+1 spacetime dimensions with marginally long-ranged and statistical interactions mediated by a U$(1)$ gauge field, both purely in 2+1 dimensions and on a surface in a 3+1 dimensional bulk…

Strongly Correlated Electrons · Physics 2018-05-16 Hart Goldman , Eduardo Fradkin

We demonstrate that quantum dynamical localization in the Arnold web of higher-dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus quantum wave packets and eigenstates may explore more of the intricate Arnold…

Chaotic Dynamics · Physics 2023-12-20 Jan Robert Schmidt , Arnd Bäcker , Roland Ketzmerick

We consider the spectral and dynamical properties of quantum systems of $n$ particles on the lattice $\Z^d$, of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the…

Mathematical Physics · Physics 2015-05-13 Michael Aizenman , Simone Warzel

Quantum mechanics describes the unitary time evolution of closed systems. In practice, every quantum system interacts with the environment leading to an irreversible loss of coherence. The Spin-Boson model (SBM) is central to the…

Chemical Physics · Physics 2020-09-28 Nirmalendu Acharyya , Martin Richter , Benjamin P. Fingerhut

We study the effect of many-body quantum interference on the dynamics of coupled periodically kicked systems whose classical dynamics is chaotic and shows an unbounded energy increase. We specifically focus on a $N$ coupled kicked rotors…

The phenomena of nonlocal transport in magnetically confined plasma are theoretically analyzed. A hybrid model is proposed, which brings together the notion of inverse energy cascade, typical of drift-wave- and two-dimensional fluid…

Chaotic Dynamics · Physics 2014-04-30 Alexander V. Milovanov , Jens Juul Rasmussen

By event-driven molecular dynamics simulations we investigate magneto-transport in a two-dimensional model with randomly distributed scatterers close to the field-induced localization transition. This transition is generated by percolating…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Walter Schirmacher , Benedikt Fuchs , Felix Höfling , Thomas Franosch

Cyclic transitions between active and passive states are central to many natural and synthetic systems, ranging from light-driven active particles to animal migrations. Here, we investigate a minimal model of self-propelled Brownian…

Soft Condensed Matter · Physics 2025-01-28 Ye Zhang , Duanduan Wan

A sequence of large invertible matrices given by a small random perturbation around a fixed diagonal and positive matrix induces a random dynamics on a high-dimensional sphere. For a certain class of rotationally invariant random…

Mathematical Physics · Physics 2019-07-29 Florian Dorsch , Hermann Schulz-Baldes

Starting from the canonical ensemble over the space of pure quantum states, we obtain an integral representation for the partition function. This is used to calculate the magnetisation of a system of N spin-1/2 particles. The results…

Quantum Physics · Physics 2013-09-13 Dorje C. Brody , Lane P. Hughston , Matthew F. Parry

We say that a quantum spin system is dynamically localized if the time-evolution of local observables satisfies a zero-velocity Lieb-Robinson bound. In terms of this definition we have the following main results: First, for general systems…

Mathematical Physics · Physics 2012-09-28 Eman Hamza , Robert Sims , Günter Stolz

The new integrable quantum spin model is proposed. The model has a biaxial magnetic anisotropy of alternating coupling between spins together with multiple spin interactions. Our model gives the possibility to exactly find thermodynamic…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any…

Statistical Mechanics · Physics 2024-09-02 Jonathon Riddell , Curt von Keyserlingk , Tomaž Prosen , Bruno Bertini

Period tripling in driven quantum oscillators reveals unique features absent for linear and parametric drive, but generic for all higher-order resonances. Here, we focus at zero temperature on the relaxation dynamics towards a stationary…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a…

Quantum Gases · Physics 2026-03-24 Ang Yang , Zekai Chen , Yanliang Guo , Manuele Landini , Hanns-Christoph Nägerl , Lei Ying

Random magnetic field configurations are ubiquitous in nature. Such fields lead to a variety of dynamical phenomena, including localization and glassy physics in some condensed matter systems and novel transport processes in astrophysical…

High Energy Physics - Theory · Physics 2024-09-11 Tian-Gang Zhou , Michael Winer , Brian Swingle

Dualities are often supposed to be foundational, but they may come into conflict with background independence, because a hidden fixed structures is needed to define the duality transformation. This conflict can be eliminated by extending a…

High Energy Physics - Theory · Physics 2016-12-21 Lee Smolin

The understanding of how classical dynamics can emerge in closed quantum systems is a problem of fundamental importance. Remarkably, while classical behavior usually arises from coupling to thermal fluctuations or random spectral noise, it…

Quantum Gases · Physics 2013-05-09 Bryce Gadway , Jeremy Reeves , Ludwig Krinner , Dominik Schneble