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We address the decay in open chaotic quantum systems and calculate semiclassical corrections to the classical exponential decay. We confirm random matrix predictions and, going beyond, calculate Ehrenfest time effects. To support our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Waltner , Martha Gutierrez , Arseni Goussev , Klaus Richter

This article provides an accessible illustration of the measurement approach to the study of the quantum-classical transition suitable for beginning graduate students. As an example, we apply it to a quantum system with a general quadratic…

Quantum Physics · Physics 2019-04-30 Marduk Bolaños

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We present an efficient \textit{ab initio} algorithm for quantum dynamics simulations of interacting systems that is based on the conditional decomposition of the many-body wavefunction [Phys. Rev. Lett. 113, 083003 (2014)]. Starting with…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Guillermo Albareda , Aaron Kelly , Angel Rubio

We discuss the semiclassical and classical character of the dynamics of a single spin 1/2 coupled to a bath of noninteracting spins 1/2. On the semiclassical level, we extend our previous approach presented in D. Stanek, C. Raas, and G. S.…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Daniel Stanek , Carsten Raas , Götz S. Uhrig

The dispersive interaction between a qubit and a cavity is ubiquitous in circuit and cavity quantum electrodynamics. It describes the frequency shift of one quantum mode in response to excitations in the other, and in closed systems is…

Quantum Physics · Physics 2024-03-12 Ying-Ying Wang , Yu-Xin Wang , Sean van Geldern , Thomas Connolly , Aashish A. Clerk , Chen Wang

We investigate the validity of quantum regression for a family of quantum Hamiltonians on a multipartite system leading to phase-damping reduced dynamics. After finding necessary and sufficient conditions for the CP-divisibility of the…

Quantum Physics · Physics 2022-05-17 Davide Lonigro , Dariusz Chruściński

We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical framework to…

Mathematical Physics · Physics 2020-09-14 J. -B. Bru , W. de Siqueira Pedra

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

Mathematical Physics · Physics 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

We investigate the correspondence between classical and quantum mechanics for periodically time dependent Hamiltonian systems, using the example of a periodically forced particle in a one-dimensional triangular well potential. In…

Condensed Matter · Physics 2017-11-01 Michael E. Flatté , Martin Holthaus

We study the evolution of a qubit evolving according to the Schr\"odinger equation with a Hamiltonian containing noise terms, modeled by random diagonal and off-diagonal matrix elements. We show that the noise-averaged qubit density matrix…

Quantum Physics · Physics 2021-12-17 Qin Huang , Marco Merkli

Whether gravity must be quantized remains one of the biggest open problems in fundamental physics. Classical-quantum hybrid theories have recently attracted attention as a possible framework in which gravity is treated classically yet…

Quantum Physics · Physics 2026-04-14 Masahiro Hotta , Sebastian Murk , Daniel R. Terno

The Quasi-diagonal Direct Interaction Approximation (QDIA) closure equations are formulated for inhomogeneous classical and quantum fields interacting through dynamical equations with quadratic nonlinearity and with first or second order…

Statistical Mechanics · Physics 2017-11-22 Jorgen S. Frederiksen

We investigate the role of coherence and Markovianity in finding an answer to the question whether the outcomes of a projectively measured quantum stochastic process are compatible with a classical stochastic process. For this purpose we…

Quantum Physics · Physics 2019-08-20 Philipp Strasberg , María García Díaz

We discuss the transition from a quantum to a classical domain for a model where a separation into environment and system is explicitely not given. Utilizing the coarse graining procedure for free quantum fields we also apply the projection…

Quantum Physics · Physics 2007-05-23 A. M. Lisewski

We analyze the dynamics of an algorithm for approximate inference with large Gaussian latent variable models in a student-teacher scenario. To model nontrivial dependencies between the latent variables, we assume random covariance matrices…

Machine Learning · Computer Science 2020-08-26 Burak Çakmak , Manfred Opper

We present a two-dimensional classical stochastic differential equation for a displacement field of a point particle in two dimensions and show that its components define real and imaginary parts of a complex field satisfying the…

Quantum Physics · Physics 2009-11-07 Z. Haba , H. Kleinert

We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the…

Statistical Mechanics · Physics 2020-10-21 Alvise Bastianello , Jacopo De Nardis , Andrea De Luca

Quantum sensors have the potential to outperform their classical counterparts. For classical sensing, the uncertainty of the estimation of the target fields scales inversely with the square root of the measurement time T. On the other hand,…

Quantum Physics · Physics 2018-05-09 Yuichiro Matsuzaki , Simon Benjamin , Shojun Nakayama , Shiro Saito , William J. Munro

We investigate the accuracy and efficiency of the semiclassical Frozen Gaussian method in describing electron dynamics in real time. Model systems of two soft-Coulomb-interacting electrons are used to study correlated dynamics under…

Chemical Physics · Physics 2015-05-30 Peter Elliott , Neepa T. Maitra
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