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The exact study of small systems can guide us toward measures for extracting information about many-body physics as we move to more complex systems capable of quantum information processing or quantum analog simulation. We use exact…

Mesoscale and Nanoscale Physics · Physics 2021-06-10 Emily Townsend , Tomáš Neuman , Alex Debrecht , Javier Aizpurua , Garnett W. Bryant

An ab initio based theoretical approach to describe nonequilibrium many-body effects in molecular transport is developed. We introduce a basis of localized molecular orbitals and formulate the many-body model in this basis. In particular,…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 Dmitry A. Ryndyk , Andrea Donarini , Milena Grifoni , Klaus Richter

A method is introduced to optimize excited state trial wave functions. The method is applied to ground and vibrationally excited states of bosonic van der Waals clusters of upto seven particles. Employing optimized trial wavefunctions with…

Chemical Physics · Physics 2007-05-23 M. P. Nightingale , Vilen Melik-Alaverdian

Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and interacting chains of superconducting transmon…

Quantum Physics · Physics 2019-10-09 Tuure Orell , Alexios A. Michailidis , Maksym Serbyn , Matti Silveri

Intersubband polaritons are light-matter excitations originating from the strong coupling between an intersubband quantum well electronic transition and a microcavity photon mode. In this paper we study how the Coulomb electron-electron…

Other Condensed Matter · Physics 2015-09-07 Luc Nguyen-Thê , Simone De Liberato , Motoaki Bamba , Cristiano Ciuti

Applying a variational multiparticle-multihole configuration mixing method whose purpose is to include correlations beyond the mean field in a unified way without particle number and Pauli principle violations, we investigate pairing-like…

Nuclear Theory · Physics 2008-11-26 N. Pillet , J. -F. Berger , E. Caurier

This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging many-body effects beyond mean-field…

Quantum Gases · Physics 2021-01-29 Ofir E. Alon , Raphael Beinke , Lorenz S. Cederbaum

We present a new three dimensional many-body Hamiltonian with three-body and five-body interactions. We obtain the exact ground state as well as some excited states of this Hamiltonian for arbitrary number of particles. These exact…

Condensed Matter · Physics 2008-02-03 Pijush K. Ghosh

A large collaboration carefully benchmarks 20 first principles many-body electronic structure methods on a test set of 7 transition metal atoms, and their ions and monoxides. Good agreement is attained between the 3 systematically converged…

We provide the analysis of a physically inspired model for a trapped dilute Bose gas with repulsive pairwise atomic interactions at zero temperature. Our goal is to describe aspects of the excited many-body quantum states by accounting for…

Mathematical Physics · Physics 2021-06-16 Manoussos G. Grillakis , Dionisios Margetis , Stephen Sorokanich

We systematically investigate and illustrate the complete ground-state phase diagram for a one-dimensional, three-species mixture of a few repulsively interacting bosons trapped harmonically. To numerically obtain the solutions to the…

Quantum Gases · Physics 2026-02-24 Tran Duong Anh-Tai , Miguel A. García-March , Thomas Busch , Thomás Fogarty

Following the field theoretic approach of Basko et al., Ann. Phys. 321, 1126 (2006), we study in detail the real-time dynamics of a system expected to exhibit many-body localization. In particular, for time scales inaccessible to exact…

Disordered Systems and Neural Networks · Physics 2014-07-02 Yevgeny Bar Lev , David R. Reichman

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 study the competition between one-body and two-body couplings in weakly-interacting two-component Bose gases, in particular as regards field correlations. We derive the meanfield theory for both ground state and low-energy pair…

Quantum Gases · Physics 2015-06-16 Samuel Lellouch , Tung-Lam Dao , Thomas Koffel , Laurent Sanchez-Palencia

The determination of the computational complexity of the boson sampling problem with single boson sources has opened a novel research direction in the quantum computing field. Some research effort has also been devoted towards the use of…

Quantum Physics · Physics 2015-06-11 Vincenzo Tamma , Simon Laibacher

Using a schematic solvable many-body Hamiltonian, one studies a new type of proton-neutron excitations within a time dependent variational approach. Classical equations of motion are linearized and subsequently solved analytically. The…

Nuclear Theory · Physics 2009-11-11 A. A. Raduta , C. M. Raduta , B. Codirla

We develop an analytical many-body wave function to accurately describe the crossover of a one-dimensional bosonic system from weak to strong interactions in a harmonic trap. The explicit wave function, which is based on the exact two-body…

Quantum Gases · Physics 2015-05-30 Ioannis Brouzos , Peter Schmelcher

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

Ultra-cold atomic systems provide a versatile platform for exploring quantum phenomena, offering tunable interactions and diverse trapping geometries. In this study, we investigate a one-dimensional system of trapped fermionic atoms using…

Quantum Gases · Physics 2025-09-16 Francisco Figueiredo , Itzhak Roditi

The quantum mechanics formalism introduced new revolutionary concepts challenging our everyday perceptions. Arguably, quantum entanglement, which explains correlations that cannot be reproduced classically, is the most notable of them.…

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