Probing two-particle exchange processes in two-mode Bose-Einstein condensates

Abstract

We study the fidelity decay and its freeze for an initial coherent state of two-mode Bose-Einstein condensates in the Fock regime considering a Bose-Hubbard model that includes two-particle tunneling terms. By using linear-response theory we find scaling properties of the fidelity as a function of the particle number that prove the existence of two-particle mode-exchange when a non-degeneracy condition is fulfilled. Tuning the energy difference of the two modes serves to distinguish the presence of two-particle mode-exchange terms through the appearance of certain singularities. Numerical results confirm our findings. Experimental verification of our findings could improve cold atom interferometry.

References in corpus (14)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Nonlinear atom interferometer surpasses classical precision limit
• Matter-wave interferometry in a double well on an atom chip
• Dynamics of Loschmidt echoes and fidelity decay
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Loschmidt Echo
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Dynamic generation of spin-squeezed states in bosonic Josephson junctions
• Measuring Energy Differences by BEC Interferometry on a Chip
• Loschmidt echo in a system of interacting electrons
• Fidelity decay in trapped Bose-Einstein condensates
• Loschmidt echo in many-spin systems: contrasting time-scales of local and global measurements
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Long-Time Coherence in Echo Spectroscopy with $\pi /2$--$\pi$--$\pi /2$ Pulse Sequence

Cited by in corpus (1)

• Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians