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Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons.I.
Second-Order Corrections Mean Field Evolution Weakly Interacting Bosons
2015/10/16
Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
Second-order corrections to mean field evolution of weakly interacting Bosons.II
Second-order corrections Mean field evolution Weakly interacting bosons
2015/10/16
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I
SECOND ORDER equation
2015/10/15
Inspired by the works of Rodnianski and Schlein [31]
and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation
that describes a second-order correction to the usual tensor product (mean-ʂ...
SECOND-ORDER CORRECTIONS TO MEAN FIELD EVOLUTION OF WEAKLY INTERACTING BOSONS. II
SECOND-ORDER WEAKLY INTERACTING BOSONS
2015/10/15
We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I [13], in which we derived a second-order correction
to a mean-field e...
PAIR EXCITATIONS AND THE MEAN FIELD APPROXIMATION OF INTERACTING BOSONS, I
PAIR EXCITATIONS MEAN FIELD APPROXIMATION
2015/10/15
In our previous work [20],[21] we introduced a correction to the mean eld approximation of interacting Bosons. This
correction describes the evolution of pairs of particles that leave
the condensat...
Quantum-Monte-Carlo Calculations for Bosons in a Two-Dimensional Harmonic Trap
Bose system the boson harmonic trap condensate oil fractions super fluid density gas condensate
2014/12/22
Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a ha...
Quantum-Monte-Carlo calculations for Bosons in a two-dimensional harmonic trap
Simulation of the bose system bosons harmonic trap the fluid density
2014/12/22
Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a ha...
Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram
Bosons optical lattice superfluid quantum systems and quantum
2014/12/20
Two sorts of bosons in an optical lattice at commensurate filling factors can form five stable superfluid and insulating ground states with rich and nontrivial phase diagram. The structure of the grou...
Supersolid Phase of Hard-Core Bosons on a Triangular Lattice
Ultra stereo core bosons triangular lattice ising spin magnetic field
2014/12/20
We study properties of the supersolid phase observed for hard-core bosons on the triangular lattice near half-integer filling factor, and the phase diagram of the system at finite temperature. We find...
On-site number statistics of ultracold lattice bosons
Fluctuations in optical lattice boson system monte carlo simulation and natural gas
2014/12/20
We study on-site occupation number fluctuations in a system of interacting bosons in an optical lattice. The ground-state distribution is obtained analytically in the limiting cases of strong and weak...
Sign-alternating interaction mediated by strongly correlated lattice bosons
Mechanism sign - alternating boson intersite grid core the model of the ground state phase diagram
2014/12/19
We reveal a generic mechanism of generating sign-alternating intersite interactions mediated by strongly correlated lattice bosons. The ground-state phase diagram of the two-component hard-core Bose–H...
Decay modes of two repulsively interacting bosons
Decay modesDecay modes two repulsively interacting bosons
2011/9/9
We study the decay of two repulsively interacting bosons tunneling through a delta potentialm barrier by direct numerical solution of the time-dependent Schr¨odinger equation. The solutions are analyz...
Two-fermion composite quasi-bosons and deformed oscillators
Two-fermion composite quasi-bosons deformed oscillators Quantum Physics
2011/10/9
Abstract: The concept of quasi-bosons or composite bosons (like mesons, excitons etc.) has a wide range of potential physical applications. Even composed of two pure fermions, the quasi-boson creation...
Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
the quantum damped harmonic oscillator pseudo-bosons
2011/7/26
Abstract: It is known that a self-adjoint, time-independent hamiltonian can be defined for the quantum damped harmonic oscillator. We show here that the two vacua naturally associated to this operator...
Simulating quantum statistics with entangled photons: a continuous transition from bosons to fermions
quantum statistics entangled photons bosons fermions
2011/9/9
In contrast to classical physics, quantum mechanics divides particles into two classes|bosons and fermions|whose exchange statistics dictate the dynamics of systems at a fundamental level . In two dim...