Search results for "quantum many-body systems"

showing 3 items of 3 documents

Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap

2016

We investigate a one-dimensional Bose–Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local interaction of the atoms in the lattice and the driving of the global trap allows us to control the dynamical stability of the trapped quantum many-body state. The impact of the atomic interaction on the dynamical stability of the driven quantum many-body state is revealed in the regime of weak interaction by analyzing a discretized Gross–Pitaevskii equation within a Gaussian variational ansatz, yielding a Mathieu equation for the condensate width. The parametric resonance condition is shown to be modified by the atom interaction strength. In particul…

Bose–Hubbard modelquantum many-body systemsFOS: Physical sciencesHarmonic (mathematics)02 engineering and technologyBose–Hubbard modelWeak interaction01 natural sciencessymbols.namesakeQuantum mechanics0103 physical sciencesAtomquantum gas010306 general physicsQuantumAnsatzPhysicsCondensed Matter::Quantum Gasesta114021001 nanoscience & nanotechnologyMathieu functionQuantum Gases (cond-mat.quant-gas)symbolsParametric oscillator0210 nano-technologyCondensed Matter - Quantum Gasesharmonic trap
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Superfluid density and quasi-long-range order in the one-dimensional disordered Bose–Hubbard model

2015

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreem…

Monte Carlo methodGeneral Physics and AstronomyBoundary (topology)FOS: Physical sciencesBose–Hubbard model01 natural sciencesCondensed Matter::Disordered Systems and Neural Networks010305 fluids & plasmasSuperfluidityPhysics and Astronomy (all)Bose glass; disorder-driven phase transition; numerical simulation of quantum many-body systems; Physics and Astronomy (all)0103 physical sciencesnumerical simulation of quantum many-body systemsPeriodic boundary conditionsTensor010306 general physicsPhysicsCondensed Matter::Quantum GasesQuantum PhysicsCondensed matter physicsdisorder-driven phase transitionCondensed Matter::OtherBose glassDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural Networks16. Peace & justiceVariational methodExponentQuantum Physics (quant-ph)
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Perturbative many-body transfer

2020

The transfer of excitations between different locations of a quantum many-body system is of primary importance in many research areas, from transport properties in spintronics and atomtronics to quantum state transfer in quantum information processing. We address the transfer of n > 1 bosonic and fermionic excitations between the edges of a one-dimensional chain modelled by a quadratic hopping Hamiltonian, where the block edges, embodying the sender and the receiver sites, are weakly coupled to the quantum wire. We find that perturbative high-quality transfer is attainable in the weak-coupling limit, for both bosons and fermions, only for certain modular arithmetic equivalence classes of th…

PhysicsQuantum physicsGeneral Physics and AstronomyQuantum computing01 natural sciencesMany bodyquantum many-body systems quantum excitation transfer quantum spin chain quadratic Hamiltonian010305 fluids & plasmasMany-body problemTheoretical physicsTransfer (group theory)Quantum systems0103 physical sciences010306 general physics
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