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We develop a quasilinear theory of the Vlasov equation in order to describe the approach of systems with long-range interactions to quasi-stationary states. We derive a diffusion equation governing the evolution of the velocity distribution…

Statistical Mechanics · Physics 2017-11-27 Alessandro Campa , Pierre-Henri Chavanis

Nonthermal attractors govern the emergent self-similar dynamics of far-from-equilibrium quantum systems, from ultrarelativistic nuclear collisions to cold-atom experiments. Within the framework of adiabatic hydrodynamization, the approach…

High Energy Physics - Phenomenology · Physics 2025-12-19 Matisse De Lescluze , Michal P. Heller , Aleksas Mazeliauskas , Bruno Scheihing-Hitschfeld , Clemens Werthmann

The quantum mechanical equivalent of parametric resonance is studied. A simple model of a periodically kicked harmonic oscillator is introduced which can be solved exactly. Classically stable and unstable regions in parameter space are…

Quantum Physics · Physics 2009-11-07 Stefan Weigert

We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. This family comprises relevant classes of states, such as injective Matrix Product and…

Quantum Physics · Physics 2022-06-23 Esther Cruz , Flavio Baccari , Jordi Tura , Norbert Schuch , J. Ignacio Cirac

In this work we consider the asymptotic behavior of the nonlinear semigroup defined by a semilinear parabolic problem with homogeneous Neumann boundary conditions posed in a bounded region of the plane that degenerates into a line segment…

Analysis of PDEs · Mathematics 2013-12-05 Marcone C. Pereira

We propose a self-validating scheme to calculate the unbiased responses of quantum many-body systems to external fields of arbibraty strength at any temperature. By switching on a specified field to a thermal pure quantum state of an…

Statistical Mechanics · Physics 2018-11-30 Hiroyuki Endo , Chisa Hotta , Akira Shimizu

We derive the steady state solution of the Fokker-Planck equation that describes the dynamics of the nondegenerate optical parametric oscillator in the truncated Wigner representation of the density operator. The adiabatic limit of strong…

Quantum Physics · Physics 2009-06-30 K. Dechoum , M. D. Hahn , A. Z. Khoury , R. O. Vallejos

Preparing the ground states of a many-body system is essential for evaluating physical quantities and determining the properties of materials. This work provides a quantum ground state preparation scheme with shallow variational warm-start…

Quantum Physics · Physics 2023-03-21 Youle Wang , Chenghong Zhu , Mingrui Jing , Xin Wang

A new regime of coherent quantum dynamics of a qubit is realized at low driving frequencies in the strong driving limit. Coherent transitions between qubit states occur via the Landau-Zener process when the system is swept through an…

We investigate the extended quasi-particle states in the mixed state of d-wave superconductors on the basis of the Bogoliubov-de Gennes equation. We prove that the quasi-particle eigen-states can be classified in terms of new topological…

Superconductivity · Physics 2007-05-23 Tomio Koyama

We consider magnetic oscillations due to Landau quantization in the mixed state of type-II superconductors. Our work is based on a previously developed formalism which allows the mean-field gap equations of the Abrikosov state to be…

Condensed Matter · Physics 2009-10-22 M. R. Norman , A. H. MacDonald , H. Akera

We present a scheme to deterministically prepare non-classical quantum states of a massive mirror including highly non-Gaussian states exhibiting sizeable negativity of the Wigner function. This is achieved by exploiting the non-linear…

Quantum Physics · Physics 2018-09-20 Ludovico Latmiral , Florian Mintert

Optomechanics and electromechanics have made it possible to prepare macroscopic mechanical oscillators in their quantum ground states, in quadrature squeezed states, and in entangled states of motion. In addition to coaxing ever larger and…

Quantum Physics · Physics 2021-03-31 Xizheng Ma , Jeremie J. Viennot , Shlomi Kotler , John D. Teufel , Konrad W. Lehnert

Quasipatterns have been found in dissipative systems ranging from Faraday waves in vertically vibrated fluid layers to nonlinear optics. We describe the dynamics of octagonal, decagonal and dodecagonal quasipatterns by means of coupled…

Pattern Formation and Solitons · Physics 2009-10-31 Blas Echebarria , Hermann Riecke

Quantum systems subject to time periodic fields of finite amplitude, lambda, have conventionally been handled either by low order perturbation theory, for lambda not too large, or by exact diagonalization within a finite basis of N states.…

Condensed Matter · Physics 2009-10-30 Daniel W. Hone , Roland Ketzmerick , Walter Kohn

Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we…

Quantum Physics · Physics 2017-08-09 Steve Campbell , Sebastian Deffner

We discuss the ground state entanglement of a bi-partite system, composed by a qubit strongly interacting with an oscillator mode, as a function of the coupling strenght, the transition frequency and the level asymmetry of the qubit. This…

Quantum Physics · Physics 2007-05-23 G. Liberti , R. L. Zaffino , F. Piperno , F. Plastina

We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude…

Chaotic Dynamics · Physics 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

In this paper, the purity of quantum states is applied to probe chaotic dissipative dynamics. To achieve this goal, a comparative analysis of regular and chaotic regimes of nonlinear dissipative oscillator (NDO) are performed on the base of…

Quantum Physics · Physics 2014-09-01 A. R. Shahinyan , Lock Yue Chew , G. Yu. Kryuchkyan

State preparation via postselected weak measurement in three wave mixing process is studied. Assuming the signal input mode prepared in a vacuum state, coherent state or squeezed vacuum state, separately, while the idler input prepared in…

Quantum Physics · Physics 2022-02-16 Qiang Hu , Taximaiti Yusufu , Yusuf Turek