Loschmidt echo in the Bose-Hubbard model: turning back time in an optical lattice

Abstract

I show how to perform a Loschmidt echo (time reversal) in the Bose-Hubbard model implemented with cold bosonic atoms in an optical lattice. The echo is obtained by applying a linear phase imprint on the lattice and a change in magnetic field to tune the boson-boson scattering length through a Feshbach resonance. I discuss how the echo can measure the fidelity of the quantum simulation, the intensity of an external potential (e.g. gravity), or the critical point of the superfluid-insulator quantum phase transition.

References in corpus (16)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ground state overlap and quantum phase transitions
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Quantum fidelity and quantum phase transitions in matrix product states
• Quantum phase transitions and quantum fidelity in free fermion graphs
• Detection of quantum critical points by a probe qubit
• Universal decoherence induced by an environmental quantum phase transition
• Direct observation of quantum criticality in Ising spin chains
• Manipulation of Single Neutral Atoms in Optical Lattices
• The fidelity approach to the Hubbard model
• Preparation and detection of magnetic quantum phases in optical superlattices
• Decoherence by engineered quantum baths
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains

Cited by in corpus (17)

• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
• Quantum transition-edge detectors
• Time-reversal in dynamically-tuned zero-gap periodic systems
• Delocalization-enhanced Bloch oscillations and driven resonant tunneling in optical lattices for precision force measurements
• Coherent transport of atomic wave packets in amplitude-modulated vertical optical lattices
• Theory of wave-front reversal of short pulses in dynamically-tuned zero-gap periodic systems
• Loschmidt echo and fidelity decay near an exceptional point
• Broadband time-reversal of optical pulses using a switchable photonic-crystal mirror
• Coherent control of atomic transport in spinor optical lattices
• Quantum Mpemba effect from initial system-reservoir entanglement
• Multiple quantum NMR in solids as a method of determination of Wigner-Yanase skew information
• Photonic Loschmidt echo in binary waveguide lattices
• Predicting Imperfect Echo Dynamics in Many-Body Quantum Systems
• Negative refraction and spatial echo in optical waveguide arrays
• Probing two-particle exchange processes in two-mode Bose-Einstein condensates