Quantum phases of a one-dimensional dipolar Fermi gas

Mosadeq, Hamid; Asgari, Reza

doi:10.1103/physrevb.91.085126

Cited by 11 publications

(14 citation statements)

References 60 publications

(45 reference statements)

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“…with the best-fitted parameters (numbers in parentheses are standard deviations for the last digit) For asake of conciseness, our discussion of finite-size scaling estimates of the Mott transition is limited to the charge-energy gap. Amore detailed analysis, presented in [3,49,55] and involving calculations of the electron momentum distribution, the Drude weight, as well as the so-called modern theory of polarization [63], justify the transition appearance in the N N 2 el = case, which coincides with the results for related parametrized model studies [50,52,53,57]. In the N N el = case, the situation is of aslightly more complex nature: apart from anonzero gap for any R, following from the finite-size scaling, several GS and dynamical characteristics (in particular-the Drude weight, see [3]) exhibit, for any finite N, acrossover behavior between apartly localized quantum liquid, appearing for small R, and afully-reconstructed Mott insulator, typically appearing for R a 4 0  .…”

Section: Finite-size Scaling For the Charge-energy Gapsupporting

confidence: 70%

“…This can be partly justified by possible influence of the enviroment in condensedmatter realizations such as quantum wires [54] or self-organized chains [56]. Aslightly different situation occurrs for cold atom systems, where long-range dipole-dipole interactions may be relevant [57]. Apart from these experiment-related premises, long-range interactions usually lead to anoticeable slowdown of the convergence for numerical methods such as DMRG or QMC [58,59].…”

Section: The Hamiltonian For Alinear Chainmentioning

confidence: 99%

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Pairwise entanglement and the Mott transition for correlated electrons in nanochains

Rycerz

2017

New J. Phys.

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Pairwise entanglement, calculated separately for charge and spin degrees of freedom, is proposed as a ground-state signature of the Mott transition in correlated nanoscopic systems. Utilizing the exact diagonalization-ab initio, for chains containing N 16  hydrogenic-like atoms (at the half filling),we find that the vanishing of the nearest-neighbor charge concurrence indicates the crossover from apartly-localized quantum liquid to the Mott insulator. Spin concurrence remains nonzero at the insulating phase, showing that the decopling of spin and charge degrees of freedom may manifest itself by wavefunctions entangled in spin, but separable in charge coordinates. At the quarter filling, the analysis for N 20  shows that spin concurrence vanishes immediately when the charge-energy gap obtained from the scaling with N 1 0  vanishes, constituting afinite-system version of the Mott transition. Analytic derivations of the formulas expressing either charge or spin concurrence in terms of ground-state correlation functions are also provided.

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Section: Finite-size Scaling For the Charge-energy Gapsupporting

confidence: 70%

Section: The Hamiltonian For Alinear Chainmentioning

confidence: 99%

Pairwise entanglement and the Mott transition for correlated electrons in nanochains

Rycerz

2017

New J. Phys.

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“…For dipolar interactions the additional non-standard pair tunnelling can even destroy the Mott-insulating domains and introduce new phases [28,30], including the pair superfluid. It is also known that the introduction of nearest-neighbour two-body interactions can induce density wave and supersolid ground states, which spontaneously break the translational symmetry of the lattice [31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Staggered ground states in an optical lattice

et al. 2019

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Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of a long-range interacting atomic gas in a onedimensional optical lattice. We first confirm that the inclusion of long-range two-body interactions to the standard Bose-Hubbard model introduces density wave and supersolid phases. However, the introduction of pair and density-dependent tunnelling can result in new phases with two-site periodic density, single-particle transport and two-body transport order parameters. These staggered phases are potentially a mean-field signature of the known novel twisted superfluids found via a DMRG approach [PRA 94, 011603(R) (2016)]. We also observe other unconventional phases, which are characterised by sign staggered order parameters between adjacent lattice sites.

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“…In the case of unbalanced pseudospin population, the existence of two distinct Fermi surfaces will lead to the creation of pairs with a nonzero total finite momentum. Such a phase, where the pair-pair correlation functions acquire a spatially dependent non-uniform oscillatory character, is known as an FFLO state 1,14,25 .…”

Section: Phase Diagram and Numerical Resultsmentioning

confidence: 99%

Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice

et al. 2018

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We study the interplay between the long-and short-range interaction of a one-dimensional optical lattice system of two-component dipolar fermions by using the density matrix renormalization group method. The atomic density profile, pairing-pairing correlation function, and the compressibility are calculated in the ground state, from which we identify the parameter region of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing state, half-metal (HM) state, FFLO-HM state, and the normal polarized state, and thus the phase diagram in the coordinates of the long-and short-range interaction strength. The effect of the long-range dipolar interaction on the FFLO state is discussed in details. We find that the long-range part of the dipole-dipole interaction does not sweep away the FFLO superconducting region that is driven by the short-range interaction in the Hubbard model, and thus the FFLO state survives in the wide parameter space of the long-range interaction, polarization, and filling.

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Quantum phases of a one-dimensional dipolar Fermi gas

Cited by 11 publications

References 60 publications

Pairwise entanglement and the Mott transition for correlated electrons in nanochains

Pairwise entanglement and the Mott transition for correlated electrons in nanochains

Staggered ground states in an optical lattice

Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice

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