Quantum Monte Carlo study of the superfluid density in quasi-one-dimensional systems of hard-core bosons: Effect of the suppression of phase slippage

Masaki-Kato, Akiko; Yunoki, Seiji; Hirashima, Dai S.

doi:10.1103/physrevb.100.224515

Cited by 7 publications

(4 citation statements)

References 56 publications

(119 reference statements)

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“…It leads to a fact that a single particle correlation function for any species, such as C a l = â † 0 âl ∼ l −α for the species a, follows a power-law decaying in long distance and induces a sharp peak of the structure factor S a k = (1/ √ L) l exp(ikl)C a l with a finite width proportional to the inverse of system size 1/L 48,49 . SF phase also has a finite stiffness response to the infinitesimal global gauge field, so called "superfluid density" 50,51 . Under the twist angle θ accumulated at edges, system has a finite energy discrepancy δE GS (θ) = E GS (θ) − E GS (0) and the second order derivative is defined as the superfluidity fraction ρ s = δE GS (θ)/θ 2 once θ → 0.…”

Section: B Numerical Results From Dmrgmentioning

confidence: 99%

Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency

Zhong,

Wang,

et al. 2022

Preprint

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We propose an experimental realization of using time-periodically modulated Rabi oscillation and consider two species of hard-core bosons with density dependent hoppings in a one-dimensional optical lattice. Different from the previous work [Phys. Rev. Research 2, 013275 (2020)], in the first resonance region, the intra-species hopping in the effective Hamiltonian occurs only if the density discrepancy of the other species on these sites is zero, while the inter-species hopping process is allowed once the relevant density discrepancy becomes nonzero. The quantum phase diagram for integer-1 filling is determined by combining analytic calculations and various numerical methods. We find that in the limit of dominant J1, the system becomes a double-degenerate dimerized state, with breaking translation symmetry spontaneously. Interplay of J0, J1 and the fixed Ū = 1 leads to three BKT transition lines and a tricritical BKT point. Exact transition lines are obtained by extrapolation following the level spectroscopic technique. Besides, general physical properties, including the charge gap, neutral gap, superfluidity density and dimerization strength, are investigated as well.

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Section: B Numerical Results From Dmrgmentioning

confidence: 99%

Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency

Zhong,

Wang,

et al. 2022

Preprint

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“…These long relaxation times must be taken into account in modeling experiments in cold atom systems [49,50] and 4 He nanopores [51][52][53][54]. One approach is to introduce "dynamical" superfluidity [55][56][57][58].…”

Section: Non-equilibrium Considerationsmentioning

confidence: 99%

Superfluidity in the 1D Bose-Hubbard Model

Kiely,

Mueller

2022

Preprint

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We study superfluidity in the 1D Bose-Hubbard model using a variational matrix product state technique. We determine the superfluid density as a function of the Hubbard parameters by calculating the energy cost of phase twists in the thermodynamic limit. As the system is critical, correlation functions decay as power laws and the entanglement entropy grows with the bond dimension of our variational state. We relate the resulting scaling laws to the superfluid density. We compare two different algorithms for optimizing the infinite matrix product state and develop a physical explanation why one of them (VUMPS) is more efficient than the other (iDMRG). Finally, we comment on finite-temperature superfluidity in one dimension and how our results can be realized in cold atom experiments.

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“…In contrast, little attention has been paid to study the potential of current devices to produce interesting ansatze for the study of strongly interacting many-boson systems. On the classical computing side, state-of-the-art methods such as quantum Monte-Carlo (QMC) simulations have proven to be effective [20][21][22][23][24][25][26][27][28][29][30], as they do not suffer from the infamous sign problem of fermionic systems. However, QMC is usually restricted to groundstate calculations, although extensions to molecular properties [31][32][33][34][35] and excited states [36][37][38][39][40] have been developed.…”

Section: Introductionmentioning

confidence: 99%

Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model

Yalouz

Senjean

Miatto

et al. 2021

Quantum

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Variational quantum algorithms (VQA) are considered as some of the most promising methods to determine the properties of complex strongly correlated quantum many-body systems, especially from the perspective of devices available in the near term. In this context, the development of efficient quantum circuit ansatze to encode a many-body wavefunction is one of the keys for the success of a VQA. Great efforts have been invested to study the potential of current quantum devices to encode the eigenstates of fermionic systems, but little is known about the encoding of bosonic systems. In this work, we investigate the encoding of the ground state of the (simple but rich) attractive Bose-Hubbard model using a Continuous-Variable (CV) photonic-based quantum circuit. We introduce two different ansatz architectures and demonstrate that the proposed continuous variable quantum circuits can efficiently encode (with a fidelity higher than 99%) the strongly correlated many-boson wavefunction with just a few layers, in all many-body regimes and for different number of bosons and initial states. Beyond the study of the suitability of the ansatz to approximate the ground states of many-boson systems, we also perform initial evaluations of the use of the ansatz in a variational quantum eigensolver algorithm to find it through energy minimization. To this end we also introduce a scheme to measure the Hamiltonian energy in an experimental system, and study the effect of sampling noise.

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Quantum Monte Carlo study of the superfluid density in quasi-one-dimensional systems of hard-core bosons: Effect of the suppression of phase slippage

Cited by 7 publications

References 56 publications

Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency

Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency

Superfluidity in the 1D Bose-Hubbard Model

Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model

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