Erratum: Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions [Phys. Rev. Lett. 87, 247006 (2001)]

Lee, Ji-Woo; Cha, Min-Chul; Kim, Doochul

doi:10.1103/physrevlett.88.049901

Cited by 34 publications

(69 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, contrary to the above cited works, it is stated that at weak disorder the direct Mott insulator to superfluid phase transition does occur, without an intervening Bose glass phase. This picture is also based on several numerical investigations [389,393,396,398,400,402,403]. The related qualitative phase diagram is presented in Fig.…”

Section: Phase Diagrammentioning

confidence: 99%

“…Scaling arguments [378][379][380][381] and renormalization group techniques [382][383][384][385][386][387] were used [306,388,389]. There have been employed numerical calculations for small (4 ≤ N ≤ 25) systems [390], strong-coupling expansions [298], density matrix renormalization group [391], mean-field single-site approximation [392][393][394], and Monte Carlo simulations [395][396][397][398][399][400][401][402][403][404].…”

Section: Phase Diagrammentioning

confidence: 99%

See 1 more Smart Citation

Cold bosons in optical lattices

2009

View full text Add to dashboard Cite

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing.

show abstract

Section: Phase Diagrammentioning

confidence: 99%

Section: Phase Diagrammentioning

confidence: 99%

Cold bosons in optical lattices

2009

View full text Add to dashboard Cite

show abstract

“…The phase diagram of the disordered Bose-Hubbard model has been studied by a number of methods including the quantum Monte Carlo [59][60][61][62][63], renormalization group [64,65], density-matrix renormalization group techniques [66][67][68], tensor networks-based algorithms, or various mean-field approaches [6,52,53,69]. In this work we propose an extension of the local mean-field method, thus let us first briefly review the mean-field approaches used earlier.…”

Section: Brief Survey Of Mean-field Approaches For the Disorderedmentioning

confidence: 99%

Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

et al. 2014

View full text Add to dashboard Cite

We investigate the phase diagrams of theoretical models describing bosonic atoms in a lattice in the presence of randomly localized impurities. By including multiband and nonlinear hopping effects we enrich the standard model containing only the chemical-potential disorder with the sitedependent hopping term. We compare the extension of the MI and the BG phase in both models using a combination of the local mean-field method and a Hartree-Fock-like procedure, as well as, the Gutzwiller-ansatz approach. We show analytical argument for the presence of triple points in the phase diagram of the model with chemical-potential disorder. These triple points however, cease to exists after the addition of the hopping disorder.

show abstract

“…To speed up the simulations, we impose a cut-off n i ≤ 2 (some times n i ≤ 3) which does not change the nature of the states. We study sufficiently large inverse temperatures β = t/T and lattice sizes L (N = L 2 sites) to address the ground state in the thermodynamic limit.In the plane (µ/U, t/U ), for fixed disorder strength Λ, there are characteristic "Mott lobes" inside which the filling is integer, while outside ρ changes with µ, U [2,3,[11][12][13][14][15][16][17][18][21][22][23][24][25]. The lobes are surrounded by a quantum glass (Griffiths) phase for any Λ > 0 [21][22][23][24][25].…”

mentioning

confidence: 99%

Anomalous Quantum Glass of Bosons in a Random Potential in Two Dimensions

2015

View full text Add to dashboard Cite

We present a quantum Monte Carlo study of the "quantum glass" phase of the 2D Bose-Hubbard model with random potentials at filling ρ = 1. In the narrow region between the Mott and superfluid phases the compressibility has the form κ ∼ exp(−b/T α ) + c with α < 1 and c vanishing or very small. Thus, at T = 0 the system is either incompressible (a Mott glass) or nearly incompressible (a Mott-glass-like anomalous Bose glass). At stronger disorder, where a glass reappears from the superfluid, we find a conventional highly compressible Bose glass. On a path connecting these states, away from the superfluid at larger Hubbard repulsion, a change of the disorder strength by only 10% changes the low-temperature compressibility by more than four orders of magnitude, lending support to two types of glass states separated by a phase transition or a sharp cross-over. PACS numbers: 64.70.Tg, 67.85.Hj, 67.10.Fj There are two types of ground states of interacting lattice bosons in the absence of disorder; the superfluid (SF) and the Mott-insulator (MI). In the Bose-Hubbard model (BHM) with repulsive on-site interactions [1,2] an MI state has an integer number of particles per site and there is a gap to states with added or removed particles. The gapless SF can have any filling fraction. These phases and the quantum phase transitions between them are well understood [1][2][3][4][5][6] and have been realized experimentally with ultracold atoms in optical lattices [7,8].If disorder in the form of random site potentials is introduced in the BHM (which can also be accomplished in optical lattices [9,10]) a third state appears-an insulating but gapless quantum glass. This state has been the subject of numerous studies [1][2][3][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] but many of its properties are still not well understood. Two types of glass states are known; the compressible Bose glass (BG) and the incompressible Mott glass (MG), with the latter commonly believed to appear only at commensurate filling fractions in systems with particle-hole symmetry [18][19][20][26][27][28][29]. The currently prevailing notion is that the glass state in the 2D BHM with random potentials is always of the compressible BG type [20][21][22]25].We here present quantum Monte Carlo (QMC) results for the two-dimensional (2D) site-disordered BHM, showing that there is actually an extended parameter region in which the BG is either replaced by an MG or has an anomalously small (in practice undetectable) compressibility. The system is described by the Hamiltonianwhere ij are nearest neighbors on the square lattice, bsite occupation numbers, and ǫ i random potentials uniformly distributed in the range [−Λ − µ, Λ − µ] about the average chemical potential µ. We study the model using the stochastic series expansion (SSE) QMC method with directed loop updates [30]. We adjust the chemical potential so that the mean filling-fraction ρ = n i = 1 (to within < 10 −5 ) when averaged over sites i, disorder realizations, quantum and thermal ...

show abstract

Erratum: Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions [Phys. Rev. Lett. 87, 247006 (2001)]

Cited by 34 publications

References 0 publications

Cold bosons in optical lattices

Cold bosons in optical lattices

Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

Anomalous Quantum Glass of Bosons in a Random Potential in Two Dimensions

Contact Info

Product

Resources

About