Name
Title | ||
|---|---|---|
Ultracold atoms in 1D optical lattices: mean field, quantum field, computation, and soliton formation |
Abstract | ||
|---|---|---|
In this work, we highlight the correspondence between two descriptions of a system of ultracold bosons in a one-dimensional optical lattice potential: (1) the discrete nonlinear Schrodinger equation, a discrete mean-field theory, and (2) the Bose-Hubbard Hamiltonian, a discrete quantum-field theory. The former is recovered from the latter in the limit of a product of local coherent states. Using a truncated form of these mean-field states as initial conditions, we build quantum analogs to the dark soliton solutions of the discrete nonlinear Schrodinger equation and investigate their dynamical properties in the Bose-Hubbard Hamiltonian. We also discuss specifics of the numerical methods employed for both our mean-field and quantum calculations, where in the latter case we use the time-evolving block decimation algorithm due to Vidal. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.matcom.2009.08.025 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
03.75.lm,dark soliton solution,37.10.jk,entanglement,discrete mean-field theory,discrete nonlinear schrodinger equation,ultracold atom,time-evolving block decimation,bose–hubbard hamiltonian,+ pacs:,05.45.yv,quantum calculation,soliton formation,quantum field,optical lattice,quantum analog,mean-field state,mean field,dynamical property,latter case,03.75.gg,bose-hubbard hamiltonian,discrete nonlinear schrödinger equation,soliton,discrete quantum-field theory,03.75.kk,quantum field theory,initial condition,time evolving block decimation,quantum physics,numerical method,coherent states,mean field theory,pattern formation | Soliton,Quantum entanglement,Hamiltonian (quantum mechanics),Optical lattice,Quantum mechanics,Quantum field theory,Coherent states,Nonlinear Schrödinger equation,Time-evolving block decimation,Physics | Journal |
Volume | Issue | ISSN |
80 | 4 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
1 | 0.40 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. V. Mishmash | 1 | 1 | 0.40 |
| L. D. Carr | 2 | 1 | 0.73 |