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In this work we study the time evolution of soft core bosons on a one-dimensional lattice, where the particles are initially quenched into a atomic density wave. At time $t=0$ the particles are released from the quench and can evolve under…

Quantum Gases · Physics 2013-07-16 Peter Schmitteckert

As a simple lattice model that exhibits a phase transition, the Ising model plays a fundamental role in statistical and condensed matter physics. The Ising transition is realized by physical systems, such as the liquid-vapor transition. Its…

High Energy Physics - Theory · Physics 2024-07-09 Wenliang Li

We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these particle-hole symmetric systems the topological phases are characterized by an even-numbered winding number $\nu$. At a…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 Andreas P. Schnyder , Shinsei Ryu , Andreas W. W. Ludwig

By means of diffusion Monte Carlo calculations, we investigated the quantum phase transition between a superfluid and a Mott insulator for a system of hard-sphere bosons in a quasi one-dimensional optical lattice. For this continuous…

Quantum Gases · Physics 2014-03-05 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta , Leonid P. Pryadko , Fabien Alet , Matthias Troyer , Guido Schmid

We construct a contour function for the logarithmic negativity and the logarithm of the moments of the partial transpose of the reduced density matrix for multimode bosonic Gaussian states of a free lattice model. In one spatial dimension,…

Statistical Mechanics · Physics 2026-02-23 Gioele Zambotti , Erik Tonni

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically simulable to classically hard to simulate as it evolves in…

Hard-core bosons on a triangular lattice with nearest neighbor repulsion are a prototypical example of a system with supersolid behavior on a lattice. We show that in this model the physical origin of the supersolid phase can be understood…

Quantum Gases · Physics 2011-11-22 Xue-Feng Zhang , Raoul Dillenschneider , Yue Yu , Sebastian Eggert

We generalize the noncommutative relations obeyed by the guiding centers in the two-dimensional quantum Hall effect to those obeyed by the projected position operators in three-dimensional (3D) topological band insulators. The…

Strongly Correlated Electrons · Physics 2012-11-12 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

We investigate the lattice dynamics and thermodynamics of nonmagnetic bcc vanadium as a function of temperature and pressure, using the first principles linear response linear-muffin-tin-orbital method. The calculated phonon density of…

Materials Science · Physics 2007-05-23 Xianwei Sha , R. E. Cohen

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

Analysis of PDEs · Mathematics 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

We study the scattering of matter-waves from interacting bosons in a one-dimensional optical lattice, described by the Bose-Hubbard Hamiltonian. We derive analytically a formula for the inelastic cross section as a function of the atomic…

Quantum Physics · Physics 2014-09-02 Klaus Mayer , Alberto Rodriguez , Andreas Buchleitner

We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. The fluid is described by the incompressible…

Analysis of PDEs · Mathematics 2025-12-12 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

We investigate the behavior of discrete interface growth models belonging to the Edwards--Wilkinson (EW) and Kardar--Parisi--Zhang (KPZ) universality classes, when defined on a complete graph, a topology commonly used to probe the…

Statistical Mechanics · Physics 2026-05-01 J. M. Marcos , J. J. Meléndez , R. Cuerno , J. J. Ruiz-Lorenzo

We study the behaviour of an ultracold atomic gas of bosons in a bichromatic lattice, where the weaker lattice is used as a source of disorder. We numerically solve a discretized mean-field equation, which generalizes the one-dimensional…

Quantum Gases · Physics 2009-12-11 Marco Larcher , Franco Dalfovo , Michele Modugno

We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics…

Statistical Mechanics · Physics 2014-04-23 Sam Genway , Igor Lesanovsky , Juan P. Garrahan

We use a lattice gas cellular automata model in the presence of random dynamic scattering sites and quenched disorder in the two-phase immiscible model with the aim of producing an interface dynamics similar to that observed in Hele-Shaw…

Fluid Dynamics · Physics 2015-08-06 R. M. Azevedo , R. R. Montenegro-Filho , M. D. Coutinho-Filho

The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discussed. In these systems there is a critical density, where the ground state is known exactly and can be represented as a charge density wave. Above this…

Quantum Gases · Physics 2015-08-18 Petra Pudleiner , Andreas Mielke

We study a nonlinear fluid-structure interaction problem in which the fluid is described by the three-dimensional incompressible Navier-Stokes equations, and the elastic structure is modeled by the nonlinear plate equation which includes a…

Analysis of PDEs · Mathematics 2019-06-05 Srđan Trifunović , Ya-Guang Wang

We investigate systems of interacting bosonic particles confined within slab-like boxes of size L^2 x Z with Z<<L, at their three-dimensional (3D) BEC transition temperature T_c, and below T_c where they experience a quasi-2D…

Quantum Gases · Physics 2017-11-01 Francesco Delfino , Ettore Vicari