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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

In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy $s$-wave correlated pair and spectator particles, while terms that include energy…

Nuclear Theory · Physics 2023-07-13 Ronen Weiss , Diego Lonardoni , Stefano Gandolfi

Exploring operational regimes of many-body cavity QED with multi-level atoms remains an exciting research frontier for their enhanced storage capabilities of intra-level quantum correlations. In this work, we consider an experimentally…

Recently a new formulation of quantum mechanics has been introduced, based on signed classical field-less particles interacting with an external field by means of only creation and annihilation events. In this paper, we extend this novel…

Quantum Physics · Physics 2017-06-30 Jean Michel Sellier , K. G. Kapanova

In the previous paper [C. W. Kim and I. Franco, J. Chem. Phys. 160, 214111 (2024)], we developed a theory called MQME-D, which allows us to decompose the overall energy dissipation process in open quantum system dynamics into contributions…

Quantum Physics · Physics 2024-06-11 Chang Woo Kim , Ignacio Franco

Controllable systems relying on quantum behavior to simulate distinctly quantum models so far rely on increasingly challenging classical computing to verify their results. We develop a general protocol for confirming that an arbitrary…

Quantum Physics · Physics 2015-04-07 Dvir Kafri , Jacob Taylor

In this paper we study, by analogy with quantum optics, the superconducting quantum interference device (SQUID) ring mediated quantum mechanical interaction of an input electromagnetic field oscillator mode with two or more output…

Superconductivity · Physics 2007-05-23 P. B. Stiffell , M. J. Everitt , T. D. Clark , C. J. Harland , J. F. Ralph

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with non-ergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body…

Disordered Systems and Neural Networks · Physics 2019-01-23 Maxime Dupont , Nicolas Laflorencie

We numerically investigate the effect of coupling a two-dimensional many-body localized system to a finite heat bath, using shallow quantum circuits as a variational ansatz. Specifically, we simulate optical lattice experiments with two…

Disordered Systems and Neural Networks · Physics 2025-08-05 Joey Li , Amos Chan , Thorsten B. Wahl

We introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems. We divide space into multiple segments and generate continuous basis functions for the many-body state in each…

Quantum Gases · Physics 2022-06-09 Shovan Dutta , Anton Buyskikh , Andrew J. Daley , Erich J. Mueller

An efficient numerical method is developed using the matrix product formalism for computing the properties at finite energy densities in one-dimensional (1D) many-body localized (MBL) systems. Arguing that any efficient (possibly quantum)…

Disordered Systems and Neural Networks · Physics 2015-08-20 Yichen Huang

Mechanistic understanding and rational design of complex chemical systems depend on fast and accurate predictions of electronic structures beyond individual building blocks. However, if the system exceeds hundreds of atoms, first-principles…

Chemical Physics · Physics 2026-04-13 Siqi Chen , Zhiqiang Wang , Yili Shen , Xianqi Deng , Xi Cheng , Cheng-Wei Ju , Jun Yi , Guo Ling , Dieaa Alhmoud , Hui Guan , Zhou Lin

The quantum many-electron problem is not just at the heart of condensed matter phenomena, but also essential for first-principles simulation of chemical phenomena. Strong correlation in chemical systems are prevalent and present a…

Strongly Correlated Electrons · Physics 2025-09-01 Yannic Rath , Massimo Bortone , George H. Booth

Multicomponent systems are defined as chemical systems that require a quantum mechanical description of two or more different types of particles. Non-Born-Oppenheimer electron-nuclear interactions in molecules, electron-hole interactions in…

Chemical Physics · Physics 2015-10-21 Benjamin H. Ellis , Somil Aggarwal , Arindam Chakraborty

Modern machine learning (ML) models of chemical and materials systems with billions of parameters require vast training datasets and considerable computational efforts. Lightweight kernel or decision tree based methods, however, can be…

Chemical Physics · Physics 2024-10-18 Danish Khan , O. Anatole von Lilienfeld

Some recent results concerning nonlinear optics in semiconductor microcavities are reviewed from the point of view of the many-body physics of an interacting photon gas. Analogies with systems of cold atoms at thermal equilibrium are drawn,…

Statistical Mechanics · Physics 2009-11-11 Iacopo Carusotto , Michiel Wouters , Cristiano Ciuti

Introducing low-energy effective Hamiltonians is usual to grasp most correlations in quantum many-body problems. For instance, such effective Hamiltonians can be treated at the mean-field level to reproduce some physical properties of…

Quantum Gases · Physics 2025-01-09 Raphaël Photopoulos , Antoine Boulet

Quantum-chemical simulations are essential for predicting energies of chemical reactions. Accurately solving the many-body Schr\"odinger equation for reagent and product states of most relevant chemical process is, however, unfeasible.…

To describe the interactions in magnetically soft particle systems either numerical full-field methods or dipole models are used. Whereas the former are computationally challenging, simple dipole interactions are largely underestimating the…

Classical Physics · Physics 2026-04-16 Dirk Romeis

Multipartite entanglement plays an essential role in both quantum information science and many-body physics. Due to the exponentially large dimension and complex geometric structure of the state space, the detection of entanglement in…

Quantum Physics · Physics 2023-02-10 Zhenhuan Liu , Yifan Tang , Hao Dai , Pengyu Liu , Shu Chen , Xiongfeng Ma