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The Bose-Hubbard Model

The Bose-Hubbard Model is QMA-complete

The Bose-Hubbard Model is QMA-complete

... The Bose-Hubbard model is a system of interacting bosons that live on the vertices of a ...the Bose-Hubbard model on a graph at fixed particle number is QMA- ...

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Green’s Function Approach to the Bose Hubbard Model

Green’s Function Approach to the Bose Hubbard Model

... ABSTRACT We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a ...

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Quantum noise in a transversely-pumped-cavity Bose-Hubbard model

Quantum noise in a transversely-pumped-cavity Bose-Hubbard model

... cavity Bose-Hubbard ...cavity Bose-Hubbard model and derive the Heisenberg-Langevin equations that take into account the fluctuations of the cavity ...effective model for the ...

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Quantum phase transitions in a dimerized Bose-Hubbard model: a DMRG study

Quantum phase transitions in a dimerized Bose-Hubbard model: a DMRG study

... PACS 37.10.Jk – Atoms in optical lattices PACS 05.30.Jp – Boson systems Abstract. - We investigate the phase diagram of a dimerized Bose-Hubbard model, using den- sity matrix renormalization group ...

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Using entanglement to discern phases in the disordered one dimensional Bose Hubbard model

Using entanglement to discern phases in the disordered one dimensional Bose Hubbard model

... Abstract – We perform a matrix-product-state–based density matrix renormalisation group anal- ysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities N/L = 1, ...

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Propagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model

Propagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model

... Abstract We study a quantum quench in the Bose-Hubbard model where the tunneling rate J is suddenly switched from zero to a finite value in the Mott regime. In order to solve the many-body quantum ...

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A THEORETICAL METHOD OF EVALUATION OF TOTAL MOMENTUM DISTRIBUTION N(K), CONDENSATE MOMENTUM DISTRIBUTION N0(K) AND NON-CONDENSATE MOMENTUM DISTRIBUTION NNC(K) AS A FUNCTION OF K(?/A) USING BOSE-HUBBARD MODEL

A THEORETICAL METHOD OF EVALUATION OF TOTAL MOMENTUM DISTRIBUTION N(K), CONDENSATE MOMENTUM DISTRIBUTION N0(K) AND NON-CONDENSATE MOMENTUM DISTRIBUTION NNC(K) AS A FUNCTION OF K(?/A) USING BOSE-HUBBARD MODEL

... (arXiv;1209.1053v2(2012)), we have studied condensate and non condensate spatial and momentum distribution in Bose-Hubbard model. We have also theoretically estimated spatial and momentum ...

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A THEORETICAL STUDY OF SUPER FLUID ? INSULATOR PHASE TRANSITION IN A GAS OF ULTRA COLD ATOMS AND EVALUATION OF ATOM DENSITY DISTRIBUTION AS A FUNCTION OF DISTANCE FROM THE CENTRE OF TRAP (R/A) USING BOSE-HUBBARD MODEL

A THEORETICAL STUDY OF SUPER FLUID ? INSULATOR PHASE TRANSITION IN A GAS OF ULTRA COLD ATOMS AND EVALUATION OF ATOM DENSITY DISTRIBUTION AS A FUNCTION OF DISTANCE FROM THE CENTRE OF TRAP (R/A) USING BOSE-HUBBARD MODEL

... The Bose-Hubbard model 1,2 is one of the standard models for studying the interacting particles in a cold gas placed in an optical ...the model at will. This has triggered several studies ...

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Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms

Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms

... 3 Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, UK (Dated: April 21, 2016) We report on the experimental implementation of tunable occupation-dependent tunneling in a ...

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Non-Gibbs states on a Bose-Hubbard lattice

Non-Gibbs states on a Bose-Hubbard lattice

... inequality −n  δˆn i . IV. CONCLUSIONS In this work we studied the equilibrium properties of the repulsive quantum Bose-Hubbard model in arbitrary lattice dimensions, with and without disorder. For ...

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Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer

Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer

... We analyze a modified Bose-Hubbard model, where two cavities having on-site Kerr interac- tions are subject to two-photon driving and cor- related dissipation. We derive an exact solution for the ...

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Engineering fidelity echoes in Bose Hubbard Hamiltonians

Engineering fidelity echoes in Bose Hubbard Hamiltonians

... black solid lines correspond to δ states, dashed lines to Gaussian states with variance σ 2 = 10, and dash-dotted lines to δ-states evolved under the IRMT model. We have found that within the perturbative regime, ...

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Multiple-time-scale analysis for pinned breathers in Bose-Hubbard chains

Multiple-time-scale analysis for pinned breathers in Bose-Hubbard chains

... in Bose-Einstein Condensates in optical lattices or in arrays of optical waveguides, oscillate with frequencies which are much higher than those present in the spectrum of the ...reduced model predicts a ...

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Critical temperature for the two-dimensional attractive Hubbard model

Critical temperature for the two-dimensional attractive Hubbard model

... attractive Hubbard model 1,2 has been successfully used to elucidate a number of important and fundamental issues in both conventional and high-temperature 共 cuprate 兲 ...and Bose-Einstein ...

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Bose condensation in a model microcavity

Bose condensation in a model microcavity

... (5) then corresponds to non-interacting bosons with an unusual density of states. To summarize, we have presented a theory of polariton condensation in the Dicke model. By studying the model at fixed ...

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bose model awrcc1 manual

bose model awrcc1 manual

... maybe Bose could find it in their highend sometimes overpriced electronics to include two, instead of ...a Bose for my birthday many years ...every Bose replacement remote listed on ...

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Hubbard model as an approximation to the entanglement in nanostructures

Hubbard model as an approximation to the entanglement in nanostructures

... a Hubbard model characterized by U = U ˜ w /t w where U ˜ w and t w were calculated from the quantum well ...the Hubbard model reproduces at least the quali- tative trend, with a maximum ...

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Nonthermal Melting of Néel Order in the Hubbard Model

Nonthermal Melting of Néel Order in the Hubbard Model

... 4 Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland (Received 13 April 2015; published 18 September 2015) We study the unitary time evolution of antiferromagnetic order in the Hubbard ...

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Dynamical vertex approximation for the attractive Hubbard model

Dynamical vertex approximation for the attractive Hubbard model

... two-dimensional Hubbard model as the prototype simple model to understand high-temperature superconductivity in copper oxides and it has flourished thanks to the discovery of a variety of materials ...

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Helicity modulus in the two-dimensional Hubbard model

Helicity modulus in the two-dimensional Hubbard model

... The helicity modulus, which is the stiffness associated with a twisted order parameter, for the two-dimensional Hubbard model is calculated for the equivalent cases of (i) attractive on-[r] ...

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