Uncertainty product of an out-of-equilibrium Bose-Einstein condensate
arXiv:1611.07553 · doi:10.1088/1742-6596/826/1/012020
Abstract
The variance and uncertainty product of the position and momentum many-particle operators of structureless bosons interacting by a long-range inter-particle interaction and trapped in a single-well potential are investigated. In the first example, of an out-of-equilibrium interaction-quench scenario, it is found that, despite the system being fully condensed, already when a fraction of a particle is depleted differences with respect to the mean-field quantities emerge. In the second example, of the pathway from condensation to fragmentation of the ground state, we find out that, although the cloud's density broadens while the system's fragments, the position variance actually decreases, the momentum variance increases, and the uncertainty product is not a monotonous function but has a maximum. Implication are briefly discussed.
14 pages, 3 figures
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Fragmentation of Bose-Einstein Condensates
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- Rigorous Derivation of the Gross-Pitaevskii Equation
- Reduced density matrices and coherence of trapped interacting bosons
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
- Optimizing number squeezing when splitting a mesoscopic condensate
- Fragmented many-body ground states for scalar bosons in a single trap
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
- Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
- Variance as a sensitive probe of correlations enduring the infinite particle limit
- Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
- Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation
- Fragmentation of Spin-orbit Coupled Spinor Bose-Einstein Condensates
- Dynamics of fluctuations in a quantum system