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The emergent semiclassical time approach to resolving the problem of time in quantum gravity involves heavy slow degrees of freedom providing via an approximately Hamilton-Jacobi equation an approximate timestandard with respect to which…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Edward Anderson

We describe vacuum fluctuations and photon-field correlations in interacting quantum mechanical light-matter systems, by generalizing the application of mixed quantum-classical dynamics techniques. We employ the multi-trajectory…

Quantum Physics · Physics 2019-06-26 Norah M. Hoffmann , Christian Schäfer , Angel Rubio , Aaron Kelly , Heiko Appel

This article reviews theoretical methods developed in the last decade to understand cavity quantum electrodynamics in the ultrastrong-coupling regime, where the strength of the light-matter interaction becomes comparable to the photon…

Quantum Physics · Physics 2020-06-05 Alexandre Le Boité

We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational…

Quantum Physics · Physics 2024-07-18 Yiying Yan , Zhiguo Lü , JunYan Luo

Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Yuto Ashida , Atac Imamoglu , Eugene Demler

Semiclassical electrodynamics is an appealing approach for studying light-matter interactions, especially for realistic molecular systems. However, there is no unique semiclassical scheme. On the one hand, intermolecular interactions can be…

Chemical Physics · Physics 2019-12-16 Tao E. Li , Hsing-Ta Chen , Abraham Nitzan , Joseph E. Subotnik

Polaritonic chemistry has ushered in new avenues for controlling molecular dynamics. However, two key questions remain: (i) Can classical light sources elicit the same effects as certain quantum light sources on molecular systems? (ii) Can…

Quantum Physics · Physics 2023-12-13 Leonardo F. Calderón , Humberto Triviño , Leonardo A. Pachón

We propose a hybrid quantum-classical algorithm for the simulation of real-time dynamics in interacting quantum field theories coupled to classical fields, focusing on the self-consistent estimation of semiclassical backreaction. By…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Carlos Fulgado-Claudio , Daniel González-Cuadra , Jose Beltrán Jiménez , Alejandro Bermudez

Experiments indicate that collective coupling of molecular ensembles to confined optical modes can modify excited-state dynamics and photochemical reactivity. To describe such cavity-induced effects at atomic resolution, semi-classical…

Chemical Physics · Physics 2026-03-06 Arun Kumar Kanakati , Oriol Vendrell , Gerrit Groenhof

Light-matter interfaces have now entered a new stage marked by the ability to engineer quantum correlated states under driven-dissipative conditions. To propel this new generation of experiments, we are confronted with the need to model…

Disordered Systems and Neural Networks · Physics 2025-01-16 Hossein Hosseinabadi , Darrick E. Chang , Jamir Marino

Given a quantum Hamiltonian, we explain how the dynamical properties of the underlying classical system affect the behaviour of quantum eigenstates in the semi-classical limit. We study this problem via the notion of semiclassical measures.…

Mathematical Physics · Physics 2019-05-30 Gabriel Rivière

Interacting spin-boson models encompass a large class of physical systems, spanning models with a single spin interacting with a bosonic bath -- a paradigm of quantum impurity problems -- to models with many spins interacting with a cavity…

Quantum Physics · Physics 2023-09-22 Naushad A. Kamar , Mohammad Maghrebi

The development of emerging technologies in quantum optics demands accurate models that faithfully capture genuine quantum effects. Mature semiclassical approaches reach their limits when confronted with quantized electromagnetic fields,…

A new method of approximation scheme with potential application to a general interacting quantum system is presented. The method is non-perturbative, self- consistent, systematically improvable and uniformly applicable for arbitrary…

Quantum Physics · Physics 2008-06-13 Nabaghan Santi

We develop a hybrid semiclassical method to study the time evolution of one dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time evolving…

Statistical Mechanics · Physics 2019-03-20 Catalin Pascu Moca , Márton Kormos , Gergely Zaránd

Semiclassical methods are extremely valuable in the study of transport and thermodynamical properties of ballistic microstructures. By expressing the conductance in terms of classical trajectories, we demonstrate that quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rodolfo A. Jalabert

One aspect of solid-state photonic devices that distinguishes them from their atomic counterparts is the unavoidable interaction between system excitations and lattice vibrations of the host material. This coupling may lead to surprising…

Mesoscale and Nanoscale Physics · Physics 2016-04-01 Jake Iles-Smith , Ahsan Nazir

Cavity quantum electrodynamics allows one to study the interaction between light and matter at the most elementary level. The methods developed in this field have taught us how to probe and manipulate individual quantum systems like atoms…

Mesoscale and Nanoscale Physics · Physics 2016-10-10 J. J. Viennot , M. R. Delbecq , L. E. Bruhat , M. C. Dartiailh , M. Desjardins , M. Baillergeau , A. Cottet , T. Kontos

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

While plenty of results have been obtained for single-particle quantum systems with chaotic dynamics through a semiclassical theory, much less is known about quantum chaos in the many-body setting. We contribute to recent efforts to make a…

Chaotic Dynamics · Physics 2018-02-07 Maram Akila , Boris Gutkin , Peter Braun , Daniel Waltner , Thomas Guhr
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