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Many-body physics is one very well suited field for testing quantum algorithms and for finding working heuristics on present quantum computers. We have investigated the non-equilibrium dynamics of one- and two-electron systems, which are…

Quantum Physics · Physics 2022-07-06 Sabine Tornow , Wolfgang Gehrke , Udo Helmbrecht

These Lecture Notes discuss the recent theoretical advances in the understanding of open quantum many-body physics in platforms where both dissipative and coherent processes can be tuned and controlled to a high degree. We start by…

Quantum Physics · Physics 2025-08-20 Rosario Fazio , Jonathan Keeling , Leonardo Mazza , Marco Schirò

We present a nonlinear stochastic Schroedinger equation for pure states describing non-Markovian diffusion of quantum trajectories. It provides an unravelling of the evolution of a quantum system coupled to a finite or infinite number of…

Quantum Physics · Physics 2009-10-31 L. Diosi , N. Gisin , W. T. Strunz

The non-Markovian dynamics of a three-level quantum system coupled to a bosonic environment is a difficult problem due to the lack of an exact dynamic equation such as a master equation. We present for the first time an exact quantum…

Quantum Physics · Physics 2010-12-27 Jun Jing , Ting Yu

We analyze the propagation of experimentally relevant two-particle correlations for one-dimensional interacting bosons, and give evidence that many-body chaos induces the emergence of an effective diffusive regime for the fully coherent…

Quantum Physics · Physics 2025-02-12 Óscar Dueñas , David Peña , Alberto Rodríguez

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of…

Quantum Physics · Physics 2009-11-13 Kuan-Liang Liu , Hsi-Sheng Goan

In one-dimensional waveguide quantum electrodynamics systems, quantum emitters interact through infinite-range, dispersive, and dissipative dipole-dipole interactions mediated by guided photonic modes. These interactions give rise to…

Quantum Physics · Physics 2025-10-13 Wei Chen , Guin-Dar Lin , H. H. Jen

We study the applicability of collisional models for non-Markovian dynamics of open quantum systems. By allowing interactions between the separate environmental degrees of freedom in between collisions we are able to construct a collision…

Quantum Physics · Physics 2016-07-13 Silvan Kretschmer , Kimmo Luoma , Walter T. Strunz

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

Statistical Mechanics · Physics 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

Using a real-time path integral approach we develop an algorithm to calculate multi-time correlation functions of open few-level quantum systems that is applicable to highly nonequilibrium dynamics. The calculational scheme fully keeps the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Michael Cosacchi , Moritz Cygorek , Florian Ungar , Andreas M. Barth , Alexei Vagov , Vollrath Martin Axt

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational…

Quantum Physics · Physics 2017-09-29 Vincent R. Overbeck , Hendrik Weimer

We review recent developments concerning non-equilibrium quantum dynamics and many-body physics with light, in superconducting circuits and Josephson analogues. We start with quantum impurity models summarizing the effect of dissipation and…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Karyn Le Hur , Loïc Henriet , Alexandru Petrescu , Kirill Plekhanov , Guillaume Roux , Marco Schiró

Driven-dissipative protocols are proposed to control and create nontrivial quantum many-body correlated states. Protocols conserving the number of particles stand apart. As well-known, in quantum systems with the unitary dynamics the…

Statistical Mechanics · Physics 2023-12-08 A. A. Lyublinskaya , I. S. Burmistrov

Computing dynamical distributions in quantum many-body systems represents one of the paradigmatic open problems in theoretical condensed matter physics. Despite the existence of different techniques both in real-time and frequency space,…

Disordered Systems and Neural Networks · Physics 2021-08-04 Rouven Koch , Jose L. Lado

The non-Markovia dynamics of quantum evolution plays an important role in open quantum sytem. However, how to quantify non-Markovian behavior and what can be obtained from non- Markovianity are still open questions, especially in complex…

An important challenge in non-Markovian open quantum systems is to understand what information we gain from continuous measurement of an output field. For example, atoms in multimode cavity QED systems provide an exciting platform to study…

The existence of more than one steady-state in a many-body quantum system driven out-of-equilibrium has been a matter of debate, both in the context of simple impurity models and in the case of inelastic tunneling channels. In this Letter,…

Strongly Correlated Electrons · Physics 2013-08-23 Eli. Y. Wilner , Haobin Wang , Guy Cohen , Michael Thoss , Eran Rabani

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

Disordered Systems and Neural Networks · Physics 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

Trapped ions are a versatile platform for the investigation of quantum many-body phenomena, in particular for the study of scenarios where long-range interactions are mediated by phonons. Recent experiments have shown that the trapped ion…

Statistical Mechanics · Physics 2019-08-28 F. M. Gambetta , I. Lesanovsky , W. Li