Phase-space representations of thermal Bose-Einstein condensates
| Autor: | King Lun Ng, Bogdan Opanchuk, R. E. S. Polkinghorne, Peter D. Drummond |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Quantum dynamics General Physics and Astronomy FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas law.invention symbols.namesake law Quantum state 0103 physical sciences Symmetry breaking 010306 general physics Quantum Mathematical Physics Physics Condensed Matter::Quantum Gases Quantum Physics Quantum noise Statistical and Nonlinear Physics Classical mechanics Quantum Gases (cond-mat.quant-gas) Modeling and Simulation Phase space symbols Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Condensed Matter - Quantum Gases Bose–Einstein condensate |
| Popis: | Phase-space methods allow one to go beyond the mean-field approximation to simulate the quantum dynamics of interacting fields. Here, we obtain a technique for initializing either Wigner or positive-P phase-space simulations of Bose-Einstein condensates with quantum states at a finite temperature. As a means to calculate the initial states, we introduce the idea of a nonlinear chemical potential, which removes the zero-momentum phase-noise divergences of Bogoliubov theory to give a diagonal Hamiltonian. The resulting steady-state quantum theory is then directly applicable to the calculations of initial conditions for quantum simulations of BEC dynamics using phase-space techniques. These methods allow efficient and scalable simulation of large Bose-Einstein condensates. We suggest that nonlinear chemical potentials may have a general applicability to cases of broken symmetry. 23 pages |
| Databáze: | OpenAIRE |
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