Fidelity decay in trapped Bose-Einstein condensates
arXiv:0801.4490 · doi:10.1103/PhysRevLett.100.050405
Abstract
The quantum coherence of a Bose-Einstein condensate is studied using the concept of quantum fidelity (Loschmidt echo). The condensate is confined in an elongated anharmonic trap and subjected to a small random potential such as that created by a laser speckle. Numerical experiments show that the quantum fidelity stays constant until a critical time, after which it drops abruptly over a single trap oscillation period. The critical time depends logarithmically on the number of condensed atoms and on the perturbation amplitude. This behavior may be observable by measuring the interference fringes of two condensates evolving in slightly different potentials.
4 pages, to appear in Physical Review Letters, February 2008
References in corpus (15)
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Environment-independent decoherence rate in classically chaotic systems
- Atom interferometry with Bose-Einstein condensates in a double-well potential
- A Bose-Einstein condensate in a random potential
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
- Interference of an array of independent Bose-Einstein condensates
- Trapped-Atom-Interferometer in a Magnetic Microtrap
- Measuring the Lyapunov exponent using quantum mechanics
- Superfluidity versus Anderson localization in a dilute Bose gas
- Collective dynamics and expansion of a Bose-Einstein condensate in a random potential
- Decay of the classical Loschmidt echo in integrable systems
- Loschmidt echo in a system of interacting electrons
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- Delocalization induced by nonlinearity in systems with disorder
- Effective one-body dynamics in multiple-quantum NMR experiments
- Emergent decoherence induced by quantum chaos in a many-body system: A Loschmidt echo observation through NMR
- Ehrenfest breakdown of the mean-field dynamics of Bose gases
- Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
- Loschmidt echo in one-dimensional interacting Bose gases
- Sensitivity to perturbations and quantum phase transitions
- Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
- Probing two-particle exchange processes in two-mode Bose-Einstein condensates