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We study the spatio-temporal dynamics of interacting bosons on a two-dimensional Hubbard lattice in the strongly interacting regime, taking into account the dynamics of condensate amplitude as well as the direct transport of non-condensed…

Quantum Gases · Physics 2025-10-30 Julian Schwingel , Michael Turaev , Johann Kroha , Sayak Ray

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These…

Quantum Physics · Physics 2007-05-23 S. Anders , M. B. Plenio , W. Dür , F. Verstraete , H. -J. Briegel

This work introduces a novel approach to quantum simulation by leveraging continuous-variable systems within a photonic hardware-inspired framework. The primary focus is on simulating static properties of the ground state of Hamiltonians…

We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons,…

Mathematical Physics · Physics 2007-05-23 Volker Betz , Fumio Hiroshima , Jozsef Lorinczi , Robert A. Minlos , Herbert Spohn

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-cold temperatures have demonstrated tremendous potential to unveil novel quantum mechanical effects appearing in lattice boson models with…

Quantum Gases · Physics 2025-07-31 Titas Chanda , Luca Barbiero , Maciej Lewenstein , Manfred J. Mark , Jakub Zakrzewski

We investigate the quantum measurement noise effects on the dynamics of an atomic Bose lattice gas inside an optical resonator. We describe the dynamics by means of a hybrid model consisting of a Bose--Hubbard Hamiltonian for the atoms and…

Quantum Gases · Physics 2018-06-12 D. Nagy , G. Kónya , P. Domokos , G. Szirmai

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the…

Quantum Physics · Physics 2021-10-20 E. R. Castro , Jorge Chavez-Carlos , I. Roditi , Lea F. Santos , Jorge G. Hirsch

We introduce a scalable variational method for simulating the dynamics of interacting open quantum bosonic systems deep in the quantum regime. The method is based on a multi-dimensional Wigner phase-space representation and employs a…

Quantum Physics · Physics 2025-07-21 Jacopo Tosca , Francesco Carnazza , Luca Giacomelli , Cristiano Ciuti

We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number $k\geq 2$. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper…

Statistical Mechanics · Physics 2007-05-23 Andras Suto

The study of non-equilibrium dynamics is one of the most important challenges of modern quantum many-body physics, in relationship with fundamental questions in quantum statistical mechanics, as well as with the fields of quantum simulation…

Quantum Gases · Physics 2023-06-14 Raphaël Menu , Tommaso Roscilde

We characterize the dynamical state of many-body bosonic and fermionic many-body models with inter-site Gaussian couplings, on-site non-Gaussian interactions and local dissipation comprising incoherent particle loss, particle gain, and…

Here we propose the Variational Discrete Action Theory (VDAT) to study the ground state properties of quantum many-body Hamiltonians. VDAT is a variational theory based on the sequential product density matrix (SPD) ansatz, characterized by…

Strongly Correlated Electrons · Physics 2021-05-26 Zhengqian Cheng , Chris A. Marianetti

While universal quantum computers remain under development, analog quantum simulators offer a powerful alternative for understanding complex systems in condensed matter, chemistry, and high-energy physics. One compelling application is the…

We study the system of multi-body interacting bosons on a two dimensional optical lattice and analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model. Assuming a repulsive two-body interaction we obtain the…

Quantum Gases · Physics 2020-08-19 Suman Mondal , Augustine Kshetrimayum , Tapan Mishra

Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in many theoretical proposals, as well as…

We investigate the quantum dynamics of systems involving small numbers of strongly interacting photons. Specifically, we develop an efficient method to investigate such systems when they are externally driven with a coherent field.…

Quantum Physics · Physics 2013-06-20 Mohammad Hafezi , Mikhail D. Lukin , Jacob M. Taylor

The series of articles [Ann. Phys. 345, 73 (2014) and 356, 57 (2015)] devoted to excited-state quantum phase transitions (ESQPTs) in systems with $f=2$ degrees of freedom is continued by studying the interacting boson model of nuclear…

Quantum Physics · Physics 2019-06-26 Michal Macek , Pavel Stránský , Amiram Leviatan , Pavel Cejnar

We describe a lattice of asymmetrical qubit pairs in one or two dimensions, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. We show in…

Strongly Correlated Electrons · Physics 2015-06-15 Eliot Kapit

We present exact diagonalization study on a system of $10 \leq N \leq 24$ spinless bosons interacting via repulsive Gaussian potential, harmonically confined in $xy$-plane with an externally impressed rotation about the $z$-axis. The…

Quantum Gases · Physics 2025-05-28 Md Hamid , M A H Ahsan

Leveraging the unique quantum properties of non-Gaussian states is crucial for advancing continuous variable quantum technologies. Recent experimental advancements in generating non-Gaussian states, coupled with theoretical findings of…

Quantum Physics · Physics 2026-02-24 Jonas F. G. Santos