2012
DOI: 10.1103/physrevb.86.214207
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Quantum dynamics of disordered bosons in an optical lattice

Abstract: We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase diagram of the disordered Bose Hubbard model and obtain the Mott insulator, Bose glass and superfluid phases. We also study the non equilibrium response of the system under a periodic temporal drive where, starting from the superfluid phase, the hopping parameter is ramped down l… Show more

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Cited by 12 publications
(18 citation statements)
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References 31 publications
(53 reference statements)
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“…In the SF phase as there is phase coherence throughout the system ρ s is large and it is O(1). The phase diagrams of DBHM with α = 0 at different values of D/U have distinctive features [3]. As examples, the phase diagrams for the case of D/U = 0, 0.2, 0.6 and 1.2 obtained from the SGMF method are shown in Fig.…”
Section: Appendixmentioning
confidence: 98%
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“…In the SF phase as there is phase coherence throughout the system ρ s is large and it is O(1). The phase diagrams of DBHM with α = 0 at different values of D/U have distinctive features [3]. As examples, the phase diagrams for the case of D/U = 0, 0.2, 0.6 and 1.2 obtained from the SGMF method are shown in Fig.…”
Section: Appendixmentioning
confidence: 98%
“…The DBHM have been studied with diverse techniques: mean field [11], projected Gutzwiller method [3], site independent and multisite mean-field method [12,13], stochastic mean field [14], quantum Monte Carlo [15][16][17], density matrix renormalisation group (DMRG) [18,19] for 1D system and numerous others [20][21][22][23][24]. In all the cases the introduction of disorder leads to the emergence of BG phase which is characterized by finite compressibility and zero superfluid stiffness.…”
Section: Introductionmentioning
confidence: 99%
“…GMFT provides qualitatively correct phase diagrams for strongly interacting clean [40][41][42][43] and disordered [44][45][46][47][48] (away from the tip of the Mott lobe) systems. It has also been used to study nonequilibrium effects such as the dynamical generation of molecular condensates [49] and MIs [50], dipole oscillations [51], quantum quenches [48,52,53], expansion dynamics [54,55], and transport in the presence of disorder [48,56]. However, since the Gutzwiller ansatz wavefunction is a product state, it has zero entanglement entropy for any partitioning of the system.…”
mentioning
confidence: 99%
“…To analyze the dynamics of the Bose‐Hubbard model beyond mean‐field theory, we have also implemented the projection operator approach . This method uses a canonical transformation such that it systematically eliminates hopping processes which connect states with a large energy difference.…”
Section: Experimental Setup and Theoretical Modelmentioning
confidence: 99%
“…The energy cut‐off is set as U . From the time dependent variational principle, we obtain improved equations of motion for the coefficients cntrue(ltrue)true(ttrue) …”
Section: Experimental Setup and Theoretical Modelmentioning
confidence: 99%