Non-equilibrium phonon dynamics in trapped ion systems

Abstract

We propose a concrete experiment to probe the non-equilibrium local dynamics of the one-dimensional Bose-Hubbard model using a trapped ion system consisting of a linear chain of few Ba^+ ions prepared in a state of transverse motional mode which corresponds to a fixed number of phonons per ion. These phonons are well-known to be described by an effective Bose-Hubbard model. We propose a protocol which leads to a sudden local sign reversal of the on-site interaction strength of this Hubbard model at one of the sites and demonstrate that the subsequent non-equilibrium dynamics of the model can be experimentally probed by measuring the time-dependent phonon number in a specific motional state of the Ba+ ions. We back our experimental proposal with exact numerical calculation of the dynamics of a Bose-Hubbard model subsequent to a local quench.

The submission contains 5 pages and 4 figures

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Quench dynamics across quantum critical points
• Mesoscopic Spin-Boson Models of Trapped Ions
• Simplified motional heating rate measurements of trapped ions
• Deterministic entanglement of ions in thermal states of motion
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Photon correlation vs interference of single-atom fluorescence in a half-cavity
• Quantum phases of interacting phonons in ion traps
• Sharp phase transitions in a small frustrated network of trapped ion spins

Cited by in corpus (6)

• Continuous variables quantum computation over the vibrational modes of a single trapped ion
• On the entanglement of a quantum field with a dispersive medium
• Ramp dynamics of phonons in an ion trap: entanglement generation and cooling
• Defect generation and dynamics during quenching in finite size homogeneous ion chains
• Theory of phonon dynamics in an ion trap
• Certification of spin-based quantum simulators