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We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems. Specifically, we present a geometric formalism that significantly simplifies qudit pulse sequence design, while…

The present study regards the zeroth order mean field approximation of a dipole-type interaction model, which is analytically solved in the canonical and microcanonical ensembles. After writing the canonical partition function, the free and…

Statistical Mechanics · Physics 2018-03-16 Atenas Boris , Curilef Sergio

Observing quantum phase transitions in mesoscopic systems is a daunting task, thwarted by the difficulty of experimentally varying the magnetic interactions, the typical driving force behind these phase transitions. Here we demonstrate that…

Strongly Correlated Electrons · Physics 2020-01-23 Yaakov Kleeorin , Yigal Meir

Phase field models are powerful tools to tackle free boundary problems. For phase transformations involving diffusion, the evolution of the non conserved phase field is coupled to the evolution of the conserved diffusion field. Introducing…

Materials Science · Physics 2015-06-18 G. Boussinot , Efim A. Brener

We show theoretically that the sudden application of an appropriate ac field to correlated lattice fermions flips the band structure and effectively switches the interaction from repulsive to attractive. The nonadiabatically driven system…

Quantum Gases · Physics 2011-06-13 Naoto Tsuji , Takashi Oka , Philipp Werner , Hideo Aoki

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

Statistical Mechanics · Physics 2009-11-10 Pierre-Henri Chavanis

We study the influence of the scheme for the correction for spurious center-of-mass motion on the fit of effective interactions for self-consistent nuclear mean-field calculations. We find that interactions with very simple center-of-mass…

Nuclear Theory · Physics 2011-07-19 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn

Violent relaxation is a process that occurs in systems with long-range interactions. It has the peculiar feature of dramatically amplifying small perturbations, and rather than driving the system to equilibrium it instead leads to slowly…

Statistical Mechanics · Physics 2018-07-18 Ryan Plestid , Perry Mahon , Duncan O'Dell

We introduce a phase-field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase-field method has two attractive features: (1) it can represent…

Numerical Analysis · Mathematics 2020-01-29 Fan Fei , Jinhyun Choo

In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a…

Numerical Analysis · Mathematics 2022-09-21 Seshadri Basava , Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

The finite volume correction for a mean-field monomer-dimer system with an attractive interaction are computed for the pressure density, the monomer density and the susceptibility. The results are obtained by introducing a two-dimensional…

Mathematical Physics · Physics 2019-02-20 Diego Alberici , Pierluigi Contucci , Rachele Luzi , Cecilia Vernia

Considering applications to relativistic heavy-ion collisions, we develop a rapidity-dependent thermal model that includes thermal smearing effect and longitudinal boost. We calibrate the model with thermal yields obtained from a multistage…

Nuclear Theory · Physics 2023-12-15 Han Gao , Lipei Du , Sangyong Jeon , Charles Gale

Hybrid particle-field molecular dynamics combines standard molecular potentials with density-field models into a computationally efficient methodology that is well-adapted for the study of mesoscale soft matter systems. Here, we introduce a…

Computational Physics · Physics 2020-07-06 Sigbjørn Løland Bore , Michele Cascella

We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of…

Statistical Mechanics · Physics 2010-03-29 Ludovic Berthier , Elijah Flenner , Hugo Jacquin , Grzegorz Szamel

The Hamiltonian Mean Field (HMF) model of coupled inertial, Hamiltonian rotors is a prototype for conservative dynamics in systems with long-range interactions. We consider the case where the interactions between the rotors are governed by…

Statistical Mechanics · Physics 2016-02-09 Yogesh S. Virkar , Juan G. Restrepo , James D. Meiss

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single…

Pattern Formation and Solitons · Physics 2022-12-20 Danilo M. Rivera , Roberto E. Navarro

We consider the finite temperature metal-insulator transition in the half filled paramagnetic Hubbard model on the infinite dimensional Bethe lattice. A new method for calculating the Dynamical Mean Field Theory fixpoint surface in the…

Strongly Correlated Electrons · Physics 2012-03-28 Hugo U. R. Strand , Andro Sabashvili , Mats Granath , Bo Hellsing , Stellan Östlund

For a classical system with long-range interactions, a soft mode exists whenever a stationary state spontaneously breaks a continuous symmetry of the Hamiltonian. Besides that, if the corresponding coordinate associated to the symmetry…

Statistical Mechanics · Physics 2020-09-23 Tarcisio M Rocha Filho , Bruno Marcos

Theoretical work has shed light on the phase behavior of idealized mixtures of many components with random interactions. But typical mixtures interact through particular physical features, leading to a structured, non-random interaction…

Statistical Mechanics · Physics 2022-09-05 Isabella R. Graf , Benjamin B. Machta

The `dynamic' Hubbard Hamiltonian describes interacting fermions on a lattice whose on-site repulsion is modulated by a coupling to a fluctuating bosonic field. We investigate one such model, introduced by Hirsch, using the determinant…

Superconductivity · Physics 2009-11-13 K. Bouadim , M. Enjalran , F. Hebert , G. G. Batrouni , R. T. Scalettar