Superfluid-Insulator Transition in a Periodically Driven Optical Lattice

Abstract

We demonstrate that the transition from a superfluid to a Mott insulator in the Bose-Hubbard model can be induced by an oscillating force through an effective renormalization of the tunneling matrix element. The mechanism involves adiabatic following of Floquet states, and can be tested experimentally with Bose-Einstein condensates in periodically driven optical lattices. Its extension from small to very large systems yields nontrivial information on the condensate dynamics.

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

“…Further the concept of DL has recently been extended to trapped atoms in BoseEinstein condensates [22], Cooper pairs in Josephson qubits [23], and correlated electron systems [24].…”

Nonequilibrium quantum phase transitions in the Ising model

“…In particular, as a consequence of a generalized parity in the extended Hilbert space [20], under the effect of periodic driving the tunneling can be slowed down or totally suppressed in a perfect coherent way, a phenomenon commonly referred to as coherent destruction of tunneling (CDT) [24,25]. Rather recently, the extension of this concept to manybody systems has been addressed in the context of the Mott-insulator-superfluid transition in ultracold systems both theoretically [13] as well as experimentally [15], and in a two-mode Bose-Hubbard model with time-dependent self-interaction strength [11].The dynamics of one-dimensional spin chains has been addressed extensively when the system is driven slowly through the critical point [26][27][28], where there is a diverging relaxation time and correlation length, and the dynamics cannot be adiabatic in the thermodynamic limit. As a consequence of this, the final state of the system consists of ordered domains whose finite size depend upon the velocity of the parameter variation [29].…”

“…Recently, experimental realizations of one-dimensional spin chains have been suggested, where a quantum simulation of the system close to the phase transition is possible, and a wide freedom on the control of the parameters is achieved [2][3][4][5][6][7]. The quantum control of many-body systems by a driving field has attracted considerable interest, both theoretical and experimental, with workers from very different communities beginning to look at driven models [8][9][10][11][12][13][14][15][16][17]. The possibility of manipulating the quantum state of a system by means of a classical external control allows one to explore novel states of matter and effective interactions which are absent in equilibrium [16][17][18][19].…”

Extended two-site Bose–Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation

“…Although for usual systems, the pair tunneling is much weaker than the single particle tunneling, their ratio can be tuned experimentally with the method of shaking the optical lattice [31][32][33][34]. So the conclusion drawn here can be tested within the current experimental techniques.…”