Properties of the superfluid in the disordered Bose-Hubbard model

Abreu, Bruno R. de; Ray, Ushnish; Vitiello, S. A.; Ceperley, David M.

doi:10.1103/physreva.98.023628

Cited by 12 publications

(12 citation statements)

References 65 publications

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“…There will be slight differences for each NV center, and this will give rise to a degree of disorder in the system. Here we define λ j = λ + δλ j and η j = η + δη j = (λ + δλ j )/ν, where |δη j | = |δλ j |/ν ≪ 1 is the disorder factor in this hybrid system [70][71][72][73]. Therefore, the Hamiltonian in Eq.…”

Section: The Setupmentioning

confidence: 99%

“…Owing to the variations in the size and spacing of the magnetic tips and NV centers, and according to the discussion in Sec.II, the physical disorder is mainly caused by the inhomogeneous coupling λ j between the NV centers and magnetic tips. We can make numerical simulations and display the effect of different disorder distributions on our scheme [70][71][72][73]. We set λ = 0.1ν, |∆| = 0.9ν, and the slowly varying Rabi frequencies Ω 1 (t) = 0.3ν[1 + tanh(νt/2000)] and Ω 2 (t) = 0.3ν[1 + tanh(νt/1500)].…”

Section: Experimental Imperfectionsmentioning

confidence: 99%

See 1 more Smart Citation

Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Zhou

et al. 2018

Phys. Rev. A

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We propose an efficient method to generate multiparticle entangled states of NV centers in a spin mechanical system, where the spins interact through a collective coupling of the Lipkin-Meshkov-Glick (LMG) type. We show that, through adiabatic transitions in the ground state of the LMG Hamiltonian, the Greenberger-Horne-Zeilinger (GHZ)-type or the W-type entangled states of the NV spins can be generated with this hybrid system from an initial product state. Because of adiabaticity, this scheme is robust against practical noise and experimental imperfection, and may be useful for quantum information processing.

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Section: The Setupmentioning

confidence: 99%

Section: Experimental Imperfectionsmentioning

confidence: 99%

Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Zhou

et al. 2018

Phys. Rev. A

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“…However, evidence suggests that a direct transition from the MI to the SF phase is ruled out in presence of random disorder, and is always intervened by a BG phase [46]. Apart from such fundamental realizations, various numerical techniques, such as, quantum Monte Carlo (QMC) [47][48][49][50][51][52], stochastic mean-field theory [53,54], Green's function approach and DMRG [55,56] etc have been developed to study the BG phase in the disordered cold atomic gases. Moreover, a site dependent mean field approximation (MFA) employs finding of the SF percolating cluster using a percolation analysis to capture the BG phase.…”

Section: Introductionmentioning

confidence: 99%

Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder

Nabi¹,

Roy²,

Basu³

2022

Preprint

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Motivated by two different types of disorder that occur in quantum systems with ubiquity, namely, the random and the quasiperiodic (QP) disorder, we have performed a systematic comparison of the emerging phase properties corresponding to these two cases for a system of interacting bosons in a two dimensional square lattice. Such a comparison is imperative as a random disorder at each lattice is completely uncorrelated, while a quasiperiodic disorder is deterministic in nature. Using a site decoupled mean-field approximation followed by a percolation analysis on a Bose-Hubbard model, several different phases are realized, such as the familiar Bose-glass (BG), Mott insulator (MI), superfluid (SF) phases, and, additionally, we observe a mixed phase, specific to the QP disorder, which we call as a QM phase. Incidentally, the QP disorder stabilizes the BG phase more efficiently than the case of random disorder. Further, we have employed a finite-size scaling analysis to characterize various phase transitions via computing the critical transition points and the corresponding critical exponents. The results show that for both types of disorder, the transition from the BG phase to the SF phase belongs to the same universality class. However, the QM to the SF transition for the QP disorder comprises of different critical exponents, thereby hinting at the involvement of a different universality class therein. The critical exponents that depict all the various phase transitions occurring as a function of the disorder strength are found to be in good agreement with the quantum Monte-Carlo results available in the literature.I.

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“…The study of adding disorder to the interacting manybody bosonic systems attracts enormous attention both experimentally and theoretically [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Experimentally, ultracold atoms in optical lattices are a promising tool to study quantum phases and quantum phase transitions in strongly correlated quantum many-body systems.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

Zhang

Rieger

2020

Front. Phys.

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We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows the system is in a supersolid phase at weak disorder and a disordered solid phase at stronger disorder. Due to long-range interactions, a large region of metastable states exists in both clean and disordered systems. By comparing the phase diagrams for both clean and disordered systems, we find that disorder suppresses metastable states and superfluidity. We compare these results with the phase diagram of the extended Bose-Hubbard model with nearest-neighbor interactions. Here, the supersolid phase does not exist even at weak disorder. We identify two kinds of glassy phases: a Bose glass phase and a disordered solid phase. The glassy phases intervene between the density-wave and superfluid phases as the Griffiths phase of the Bose-Hubbard model. The disordered solid phase intervenes between the density-wave and Bose glass phases since both have a finite structure factor.

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Properties of the superfluid in the disordered Bose-Hubbard model

Cited by 12 publications

References 65 publications

Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

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