Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap

Abstract

We study dynamics of two interacting ultra cold Bose atoms in a harmonic oscillator potential in one spatial dimension. Making use of the exact solution of the eigenvalue problem of a particle in the delta-like potential we study time evolution of initially separable state of two particles. The corresponding time dependent single particle density matrix is obtained and diagonalized and single particle orbitals are found. This allows to study decoherence as well as creation of entanglement during the dynamics. The evolution of the orbital corresponding to the largest eigenvalue is then compared to the evolution according to the Gross-Pitaevskii equation. We show that if initially the center of mass and relative degrees of freedom are entangled then the Gross-Pitaevskii equation fails to reproduce the exact dynamics and entanglement is produced dynamically. We stress that predictions of our study can be verified experimentally in an optical lattice in the low-tunneling limit.

9 figures, 5 movies available on-line

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of Bose-Einstein condensation in trapped gases
• Teleportation of Quantum States
• Multipartite entanglement for continuous variables: A quantum teleportation network
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Molecules of Fermionic Atoms in an Optical Lattice
• Quantum Correlations in Two-Boson Wavefunctions
• Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
• Vortex nucleation as a case study of symmetry breaking in quantum systems
• Broadband teleportation
• Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
• Dynamics of entanglement between two trapped atoms
• Vortex nucleation in mesoscopic Bose superfluid and breaking of the parity symmetry
• Detection and engineering of spatial mode entanglement with ultra-cold bosons
• Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations

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