Quench from Mott Insulator to Superfluid
arXiv:1206.1067 · doi:10.1103/PhysRevB.86.144521
Abstract
We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of a uniform system in 1,2, and 3 dimensions, and in a harmonic trap in 3 dimensions. In all these setups the excitation energy decays like one over third root of the quench time. The -1/3 scaling arises from an impulse-adiabatic approximation - a variant of the Kibble-Zurek mechanism - describing a crossover from non-adiabatic to adiabatic evolution when the system begins to keep pace with the increasing tunneling rate.
10 pages, 13 figures; version published in Phys. Rev. B
References in corpus (13)
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Universal adiabatic dynamics across a quantum critical point
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
- Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
- Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
- Extended Coherence Time with Atom-Number Squeezed Sources
- Some remarks on the coherent-state variational approach to nonlinear boson models
- Dynamics of a many-particle Landau-Zener model: inverse sweep
- Bose-Hubbard model in a ring-shaped optical lattice with high filling factors