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When the strength of interaction between a quantum system and bath is non-negligible, the equilibrium state can deviate from the Gibbs state. But the expression of such a mean force Gibbs state in an arbitrary parameter regime is unknown…

Quantum Physics · Physics 2025-08-27 Prem Kumar

A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body and three-body inverse-square interactions is introduced. The range of the interactions is set by…

Quantum Physics · Physics 2017-05-31 S. M. Pittman , M. Beau , M. Olshanii , A. del Campo

In the full quantum theory, the energy of a many-body quantum system with a given one-body density is described by the Levy-Lieb functional. It is exact, but very complicated to compute. For practical computations, it is useful to introduce…

Mathematical Physics · Physics 2020-11-24 Nicco Mietzsch

The quantum modes of a nonlinear Klein Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B, vol. 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to a phonon pairing and consequently some phonon bound…

Quantum Physics · Physics 2009-11-11 Laurent Proville

We develop a quantum mechanical formalism to treat the strong coupling between an electromagnetic mode and a vibrational excitation of an ensemble of organic molecules. By employing a Bloch-Redfield-Wangsness approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Javier del Pino , Johannes Feist , Francisco J. Garcia-Vidal

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we…

Disordered Systems and Neural Networks · Physics 2021-06-02 Piotr Kubala , Piotr Sierant , Giovanna Morigi , Jakub Zakrzewski

Local available quantum correlations (LAQC), as defined by Mundarain et al., are analyzed for 2-qubit X states with local Bloch vectors of equal magnitude. Symmetric X-states are invariant under the exchange of subsystems, hence having the…

Quantum Physics · Physics 2023-11-29 Hermann Albrecht , David Bellorin , Douglas F. Mundarain

This paper proposes a one-dimensional lattice model with long-range interactions which, in the continuum, keeps its nonlocal behaviour. In fact, the long-time evolution of the localized waves is governed by an asymptotic equation of the…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 T. Ioannidou , J. Pouget , E. Aifantis

Discrete breathers, or intrinsic localized modes, are spatially localized, time--periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the sighting of a form of…

Pattern Formation and Solitons · Physics 2007-05-23 F. R. Romero , J. F. R. Archilla , F. Palmero , B. Sanchez-Rey , A. Alvarez , J. Cuevas , J. M. Romero

A series of weak-coupling perturbation theories which include the lowest-order vertex corrections are applied to the attractive Holstein model in infinite dimensions. The approximations are chosen to reproduce the iterated perturbation…

Superconductivity · Physics 2009-10-31 J. K. Freericks , V. Zlatic' , Woonki Chung , Mark Jarrell

Quantum manipulation of individual phonons could offer new resources for studying fundamental physics and creating an innovative platform in quantum information science. Here, we propose to generate quantum states of strongly correlated…

Quantum Physics · Physics 2021-08-02 Yuangang Deng , Tao Shi , Su Yi

We investigate the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. We demonstrate that restoring energy extensivity in the system,…

Strongly Correlated Electrons · Physics 2021-04-28 Thomas Botzung , David Hagenmüller , Guido Masella , Jérôme Dubail , Nicolò Defenu , Andrea Trombettoni , Guido Pupillo

Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics. Here we predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box.…

Quantum Physics · Physics 2023-03-20 Alexander V. Poshakinskiy , Alexander N. Poddubny

We investigate the snaking of localised patterns, seen in numerous physical applications, using a variational approximation. This method naturally introduces the exponentially small terms responsible for the snaking structure, that are not…

Pattern Formation and Solitons · Physics 2015-05-20 H. Susanto , P. C. Matthews

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state…

Quantum Physics · Physics 2026-05-29 Fabian Hassler , David Scheer , Samah Saquaque , Steven Kim

Enhanced experimental capabilities to control nonlocal and power-law decaying interactions are currently fuelling intense research in the domain of quantum many-body physics. Compared to their counterparts with short-ranged interactions,…

Statistical Mechanics · Physics 2025-09-16 Robert Mattes , Igor Lesanovsky , Federico Carollo

We resolve phonon number states in the spectrum of a superconducting qubit coupled to a multimode acoustic cavity. Crucial to this resolution is the sharp frequency dependence in the qubit-phonon interaction engineered by coupling the qubit…

Quantum Physics · Physics 2019-07-26 Lucas R. Sletten , Bradley A. Moores , Jeremie J. Viennot , Konrad W. Lehnert

This paper proves optimal tradeoffs between the locality and parameters of quantum error-correcting codes. Quantum codes give a promising avenue towards quantum fault tolerance, but the practical constraint of locality limits their quality.…

Quantum Physics · Physics 2024-09-24 Samuel Dai , Ray Li

We study, using Hepp's method, the propagation of coherent states for a general class of self interacting bosonic quantum field theories with spatial cutoffs. This includes models with non-polynomial interactions in the field variables. We…

Mathematical Physics · Physics 2012-10-22 Zied Ammari , Maher Zerzeri

Optical cavity QED provides a platform with which to explore quantum many-body physics in driven-dissipative systems. Single-mode cavities provide strong, infinite-range photon-mediated interactions among intracavity atoms. However, these…