Disordered Supersolids in the Extended Bose-Hubbard Model

Lin, Fei; Maier, T. A.; Scarola, V. W.

doi:10.1038/s41598-017-13040-9

Title: Disordered Supersolids in the Extended Bose-Hubbard Model

Abstract

The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It exhibits a rich phase diagram including a supersolid phase where a lattice solid coexists with a superfluid. We use quantum Monte Carlo to study the supersolid part of the phase diagram of the extended Bose-Hubbard model on the simple cubic lattice. We add disorder to the extended Bose-Hubbard model and find that the maximum critical temperature for the supersolid phase tends to be suppressed by disorder. But we also find a narrow parameter window in which the supersolid critical temperature is enhanced by disorder. Our results show that supersolids survive a moderate amount of spatial disorder and thermal fluctuations in the simple cubic lattice.

Authors:

Lin, Fei ^[1];

^[2];

^[1]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Fri Oct 06 00:00:00 EDT 2017

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1408653

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Lin, Fei, Maier, T. A., and Scarola, V. W. Disordered Supersolids in the Extended Bose-Hubbard Model.  United States: N. p., 2017. 
Web.  doi:10.1038/s41598-017-13040-9.

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                    Lin, Fei, Maier, T. A., & Scarola, V. W. Disordered Supersolids in the Extended Bose-Hubbard Model.  United States.  https://doi.org/10.1038/s41598-017-13040-9

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                    Lin, Fei, Maier, T. A., and Scarola, V. W. Fri .  
"Disordered Supersolids in the Extended Bose-Hubbard Model".  United States.  https://doi.org/10.1038/s41598-017-13040-9.  https://www.osti.gov/servlets/purl/1408653.

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@article{osti_1408653,

  title        = {Disordered Supersolids in the Extended Bose-Hubbard Model},

  author       = {Lin, Fei and Maier, T. A. and Scarola, V. W.},

  abstractNote = {The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It exhibits a rich phase diagram including a supersolid phase where a lattice solid coexists with a superfluid. We use quantum Monte Carlo to study the supersolid part of the phase diagram of the extended Bose-Hubbard model on the simple cubic lattice. We add disorder to the extended Bose-Hubbard model and find that the maximum critical temperature for the supersolid phase tends to be suppressed by disorder. But we also find a narrow parameter window in which the supersolid critical temperature is enhanced by disorder. Our results show that supersolids survive a moderate amount of spatial disorder and thermal fluctuations in the simple cubic lattice.},

  doi          = {10.1038/s41598-017-13040-9},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 7,

  place        = {United States},

  year         = {Fri Oct 06 00:00:00 EDT 2017},

  month        = {Fri Oct 06 00:00:00 EDT 2017}

}

Copy to clipboard

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https://doi.org/10.1038/s41598-017-13040-9

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Works referencing / citing this record:

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions
journal, February 2020

Zhang, Chao; Rieger, Heiko
The European Physical Journal B, Vol. 93, Issue 2
DOI: 10.1140/epjb/e2019-100420-1

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Zhang, Chao; Rieger, Heiko
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Publisher Correction: Disordered Supersolids in the Extended Bose-Hubbard Model

Journal Article Lin, Fei ; Maier, T. A. ; Scarola, V. W. - Scientific Reports

The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It exhibits a rich phase diagram including a supersolid phase where a lattice solid coexists with a superfluid. We use quantum Monte Carlo to study the supersolid part of the phase diagram of the extended Bose-Hubbard model on the simple cubic lattice. We add disorder to the extended Bose-Hubbard model and find that the maximum critical temperature for the supersolid phase tends to be suppressed by disorder. But wemore »« less
https://doi.org/10.1038/s41598-018-23002-4

Full Text Available
Supersolid and solitonic phases in the one-dimensional extended Bose-Hubbard model

Journal Article Mishra, Tapan ; Pai, Ramesh V ; Ramanan, S ; ... - Physical Review. A

We report our findings on the quantum phase transitions in cold bosonic atoms in a one-dimensional optical lattice using the finite-size density-matrix renormalization-group method in the framework of the extended Bose-Hubbard model. We consider wide ranges of values for the filling factors and the nearest-neighbor interactions. At commensurate fillings, we obtain two different types of charge-density wave phases and a Mott insulator phase. However, departure from commensurate fillings yields the exotic supersolid phase where both the crystalline and the superfluid orders coexist. In addition, we obtain the signatures for the solitary waves and the superfluid phase.
https://doi.org/10.1103/PHYSREVA.80.043614
Route to supersolidity for the extended Bose-Hubbard model

Journal Article Iskin, M - Physical Review. A

We use the Gutzwiller ansatz and analyze the phase diagram of the extended Bose-Hubbard Hamiltonian with on-site (U) and nearest-neighbor (V) repulsions. For d-dimensional hypercubic lattices, when 2dV<U, it is well known that the ground state alternates between the charge-density-wave (CDW) and Mott insulators, and the supersolid (SS) phase occupies small regions around the CDW insulators. However, when 2dV>U, in this Rapid Communication, we show that the ground state has only CDW insulators, and more importantly, the SS phase occupies a much larger region in the phase diagram, existing up to very large hopping values which could be orders ofmore »« less
https://doi.org/10.1103/PHYSREVA.83.051606
Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices

Journal Article Scarola, V W ; Das Sarma, S - Physical Review Letters

Cold atom optical lattices typically simulate zero-range Hubbard models. We discuss the theoretical possibility of using excited states of optical lattices to generate extended range Hubbard models. We find that bosons confined to higher bands of optical lattices allow for a rich phase diagram, including the supersolid phase. Using Gutzwiller, mean-field theory we establish the parameter regime necessary to maintain metastable states generated by an extended Bose-Hubbard model.
https://doi.org/10.1103/PhysRevLett.95.033003
Strong-coupling perturbation theory for the extended Bose-Hubbard model

Journal Article Iskin, M ; Freericks, J K - Physical Review. A

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on (d>1)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase boundaries between the incompressible (Mott or charge-density-wave insulators) and the compressible (superfluid or supersolid) phases are derived up to third order in the hopping t. We also briefly discuss possible implications of our results in the context of ultracold dipolar Bose gases with dipole-dipole interactions loaded into optical lattices.
https://doi.org/10.1103/PHYSREVA.79.053634

Similar Records

Title: Disordered Supersolids in the Extended Bose-Hubbard Model

Abstract

Citation Formats

Quantum phase transitions in disordered two-dimensional superconductors journal, August 1990

Percolation-enhanced supersolids in the extended Bose-Hubbard model journal, January 2012

Dicke quantum phase transition with a superfluid gas in an optical cavity journal, April 2010

Stochastic series expansion method with operator-loop update journal, June 1999

Roton-Type Mode Softening in a Quantum Gas with Cavity-Mediated Long-Range Interactions journal, May 2012

Many-body physics with ultracold gases journal, July 2008

Quantum phase transitions of interacting bosons and the supersolid phase journal, December 1995

Theory of dirty superconductors journal, September 1959

Attractive Hubbard model with disorder and the generalized Anderson theorem journal, June 2015

Quantum Phases of Dipolar Bosons in Optical Lattices journal, April 2002

Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices journal, July 2005

Infrared study of Ba 1 − x K x BiO 3 from charge-density-wave insulator to superconductor journal, January 1993

Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems journal, September 2009

Supersolids versus Phase Separation in Two-Dimensional Lattice Bosons journal, May 2005

Supersolid versus Phase Separation in Atomic Bose-Fermi Mixtures journal, September 2003

Phase diagram of the disordered Bose-Hubbard model journal, December 2009

Supersolid formation in a quantum gas breaking a continuous translational symmetry journal, March 2017

Supersolid Hard-Core Bosons on the Triangular Lattice journal, September 2005

Probing the Bose glass–superfluid transition using quantum quenches of disorder journal, March 2016

Quantum Monte Carlo with directed loops journal, October 2002

Universal critical amplitudes in finite-size scaling journal, July 1984

Percolation-Enhanced Localization in the Disordered Bosonic Hubbard Model journal, November 1995

Speculations on Bose-Einstein Condensation and Quantum Crystals journal, July 1970

Random-Field Instability of the Ordered State of Continuous Symmetry journal, November 1975

Phase diagrams and critical behavior in Ising square lattices with nearest- and next-nearest-neighbor interactions journal, March 1980

Supersolid phases in underdamped Josephson arrays: Quantum Monte Carlo simulations journal, April 1995

Extended Bose-Hubbard models with ultracold magnetic atoms journal, April 2016

Off-Diagonal Long-Range Order in Solids journal, January 1970

Disorder-induced superfluidity journal, June 2009

Path-integral computation of superfluid densities journal, December 1987

Colloquium : Supersolids: What and where are they? journal, May 2012

Commensurate Supersolid of Three-Dimensional Lattice Bosons journal, May 2012

Destruction of diagonal and off-diagonal long-range order by disorder in two-dimensional hard-core boson systems journal, August 2002

Superconductivity in narrow-band systems with local nonretarded attractive interactions journal, January 1990

Superfluid-insulator transition in disordered boson systems journal, October 1991

Ground-state phase diagram of the two-dimensional extended Bose-Hubbard model journal, August 2012

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions journal, February 2020

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions collection, January 2020

Quantum phase transitions in disordered two-dimensional superconductors
journal, August 1990

Percolation-enhanced supersolids in the extended Bose-Hubbard model
journal, January 2012

Dicke quantum phase transition with a superfluid gas in an optical cavity
journal, April 2010

Stochastic series expansion method with operator-loop update
journal, June 1999

Roton-Type Mode Softening in a Quantum Gas with Cavity-Mediated Long-Range Interactions
journal, May 2012

Many-body physics with ultracold gases
journal, July 2008

Quantum phase transitions of interacting bosons and the supersolid phase
journal, December 1995

Theory of dirty superconductors
journal, September 1959

Attractive Hubbard model with disorder and the generalized Anderson theorem
journal, June 2015

Quantum Phases of Dipolar Bosons in Optical Lattices
journal, April 2002

Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices
journal, July 2005

Infrared study of ${Ba}_{1 - x}$ $K_{x}$ ${BiO}_{3}$ from charge-density-wave insulator to superconductor
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Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
journal, September 2009

Supersolids versus Phase Separation in Two-Dimensional Lattice Bosons
journal, May 2005

Supersolid versus Phase Separation in Atomic Bose-Fermi Mixtures
journal, September 2003

Phase diagram of the disordered Bose-Hubbard model
journal, December 2009

Supersolid formation in a quantum gas breaking a continuous translational symmetry
journal, March 2017

Supersolid Hard-Core Bosons on the Triangular Lattice
journal, September 2005

Probing the Bose glass–superfluid transition using quantum quenches of disorder
journal, March 2016

Quantum Monte Carlo with directed loops
journal, October 2002

Universal critical amplitudes in finite-size scaling
journal, July 1984

Percolation-Enhanced Localization in the Disordered Bosonic Hubbard Model
journal, November 1995

Speculations on Bose-Einstein Condensation and Quantum Crystals
journal, July 1970

Random-Field Instability of the Ordered State of Continuous Symmetry
journal, November 1975

Phase diagrams and critical behavior in Ising square lattices with nearest- and next-nearest-neighbor interactions
journal, March 1980

Supersolid phases in underdamped Josephson arrays: Quantum Monte Carlo simulations
journal, April 1995

Extended Bose-Hubbard models with ultracold magnetic atoms
journal, April 2016

Off-Diagonal Long-Range Order in Solids
journal, January 1970

Disorder-induced superfluidity
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Path-integral computation of superfluid densities
journal, December 1987

Colloquium : Supersolids: What and where are they?
journal, May 2012

Commensurate Supersolid of Three-Dimensional Lattice Bosons
journal, May 2012

Destruction of diagonal and off-diagonal long-range order by disorder in two-dimensional hard-core boson systems
journal, August 2002

Superconductivity in narrow-band systems with local nonretarded attractive interactions
journal, January 1990

Superfluid-insulator transition in disordered boson systems
journal, October 1991

Ground-state phase diagram of the two-dimensional extended Bose-Hubbard model
journal, August 2012

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions
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