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We review recently introduced numerical methods for the unbiased detection of the order parameter and/or dominant correlations, in many-body interacting systems, by using reduced density matrices. Most of the paper is devoted to the…

Strongly Correlated Electrons · Physics 2015-05-27 Christopher L. Henley , Hitesh J. Changlani

Molecules constitute compact hybrid quantum optical systems that can interface photons, electronic degrees of freedom, localized mechanical vibrations and phonons. In particular, the strong vibronic interaction between electrons and nuclear…

We propose a mechanism for liquid formation in strongly correlated lattice systems. The mechanism is based on an interplay between long-range attraction and superexchange processes. As an example, we study dipolar bosons in one-dimensional…

The main properties and methods of describing dipolar and spinor atomic systems, composed of bosonic atoms or molecules, are reviewed. The general approach for the correct treatment of Bose-condensed atomic systems with nonlocal interaction…

Quantum Gases · Physics 2018-05-09 V. I. Yukalov

We study wave propagation in interacting Bose liquid, where the short range part of the interaction between atoms is of a hard core type, and its long range part scales with a distance as a power law. The cases of Coulomb, dipole-dipole and…

Quantum Gases · Physics 2016-07-20 A. D. Sarishvili , I. V. Protopopov , D. B. Gutman

We consider a bilayer of dipolar bosons in which the polarization of dipoles are perpendicular to the planes. Using accurate static structure factor $S(q)$ data from hypernetted-chain calculation for single layer dipolar bosons we construct…

Quantum Gases · Physics 2015-07-23 E. Akaturk , B. Tanatar , Saeed H. Abedinpour

Coupling excitons with quantized radiation has been shown to enable coherent ballistic transport at room temperature inside optical cavities. Previous theoretical works employ a simple description of the material, depicting it as a…

Quantum Physics · Physics 2026-05-14 Saeed Rahmanian Koshkaki , Arshath Manjalingal , Logan Blackham , Arkajit Mandal

In this work, we develop an optomechanical formalism for macroscopic quantum states in exciton-polariton systems with strong exciton-phonon interactions. We show that polariton optomechanical interactions induce dynamical backaction,…

Quantum Gases · Physics 2024-10-31 Vladislav Yu. Shishkov , Evgeny S. Andrianov , Anton V. Zasedatelev

Density-matrix renormalization group is used to study the pairing when both of electron-electron and electron-phonon interactions are strong in the Holstein-Hubbard model at half-filling in a region intermediate between the adiabatic…

Strongly Correlated Electrons · Physics 2009-09-29 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

In this work we derive a theory of polariton condensation based on the theory of interacting Bose particles. In particular, we describe self-consistently the linear exciton-photon coupling and the exciton-nonlinearities, by generalizing the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Davide Sarchi , Vincenzo Savona

A method is presented to obtain the linear response coefficients of a system coupled to a bath. The method is based on a systematic truncation of the Liouville equation for the reduced distribution function. The first order truncation…

Statistical Mechanics · Physics 2017-05-11 Dries Sels , Fons Brosens

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We develop a generalized harmonic-fluid approach, based on a regularization of the effective low-energy Luttinger-liquid Hamiltonian, for a one-dimensional Bose gas with repulsive contact interactions. The method enables us to compute the…

Quantum Gases · Physics 2010-12-21 N. Didier , A. Minguzzi , F. W. J. Hekking

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band…

Quantum Physics · Physics 2018-04-18 A. González-Tudela , J. I. Cirac

We study the correlated dynamics of few interacting bosonic impurities immersed in a one-dimensional harmonically trapped bosonic environment. The mixture is exposed to a time-dependent impurity-medium interaction pulse moving it across the…

Quantum Gases · Physics 2021-02-17 G. Bougas , S. I. Mistakidis , P. Schmelcher

We present a formalism for studying the radiation-matter interaction in multilayered dielectric structures with active semiconductor quantum wells patterned with an in-plane periodic lattice. The theory is based on the diagonalization of…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Simone Zanotti , Hai Son Nguyen , Momchil Minkov , Lucio Claudio Andreani , Dario Gerace

The transition from weakly damped coherent motion to localization in the context of the spin-boson model has been the subject of numerous studies with distinct behavior depending on the form of the phonon-bath spectral density,…

Strongly Correlated Electrons · Physics 2015-12-09 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

Exciton-phonon dynamics on a 1D lattice with long-range exciton-exciton interaction have been introduced and elaborated. Long-range interaction leads to a nonlocal integral term in the motion equation of the exciton subsystem if we go from…

Mathematical Physics · Physics 2011-04-08 Nick Laskin

We present a new paradigm for the dynamical simulation of interacting many-boson open quantum systems. The method relies on a variational ansatz for the $n$-boson density matrix, in terms of a superposition of photon-added coherent states.…

Quantum Physics · Physics 2023-06-27 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona

The interplay between an open quantum system and its environment can lead to both coherent and incoherent behaviour. We explore the extent to which strong coupling to a single bosonic mode can alter the coherence properties of a two-level…

Quantum Physics · Physics 2016-04-20 E. K. Levi , E. K. Irish , B. W. Lovett
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