Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term

Salasnich, Luca; Comaron, P.; Zambon, M.; Toigo, Flavio

doi:10.1103/physreva.88.033610

Cited by 17 publications

(26 citation statements)

References 43 publications

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“…It is thus necessary to study the KT and VAL transitions in 2D fermionic systems with p-or d-wave pairing. The KT and VAL transitions has been comprehensively studied for 2D Fermi gases with swave pairing [8,[40][41][42][43][44][45][46] and with spin-orbit coupling [47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with p - or d -wave pairing

Cao

Huang

2017

Phys. Rev. A

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We present a theoretical study of the finite-temperature Kosterlitz-Thouless (KT) and vortex-antivortex lattice (VAL) melting transitions in two-dimensional Fermi gases with p-or d-wave pairing. For both pairings, when the interaction is tuned from weak to strong attractions, we observe a quantum phase transition from the Bardeen-Cooper-Schrieffer (BCS) superfluidity to the Bose-Einstein condensation (BEC) of difermions. The KT and VAL transition temperatures increase during this BCS-BEC transition and approach constant values in the deep BEC region. The BCS-BEC transition is characterized by the non-analyticities of the chemical potential, the superfluid order parameter, and the sound velocities as functions of the interaction strength at both zero and finite temperatures; however, the temperature effect tends to weaken the non-analyticities comparing to the zero temperature case. The effect of mismatched Fermi surfaces on the d-wave pairing is also studied.

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Section: Introductionmentioning

confidence: 99%

Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with p - or d -wave pairing

Cao

Huang

2017

Phys. Rev. A

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“…1, one discovers that the interval I = {E I /E K ∈ [2 4/3 /3, 1]} on the vertical axis actually represents the parameter range in which the system is in the polarized phase |ζ| = 0 within the box. Particularly, any value R * = R(E I , E K ) representing a solution of equations (33) and (34) for E I /E K ∈ I allows one to determine |ζ| through the formula R = (E 2 I |ζ| 2 + E 2 R ) 1/2 . The phase boundary confining A from below is found as follows.…”

Section: Phase Boundary For Ementioning

confidence: 99%

“…In the absence of the Rabi coupling, the system remains balanced and this instability produces balanced ferromagnetism with phase separation rather than spin flip [27,28,29,30,31,32]. In previous papers [33,34] we have investigated the role of the Rabi coupling in a 2D Fermi gas to the formation of spin-flip, i.e. polarization [28].…”

Section: Introductionmentioning

confidence: 99%

Polarization in a three-dimensional Fermi gas with Rabi coupling

Penna¹,

Salasnich²

2019

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the polarization of a two-component three-dimensional fermionic gas made of repulsive alkali-metal atoms. The two pseudo-spin components correspond to two hyperfine states which are Rabi coupled. The presence of Rabi coupling implies that only the total number of atoms is conserved and a quantum phase transition between states dominated by spin-polarization along different axses is possible. By using a variational Hartree-Fock scheme we calculate analytically the ground-state energy of the system and determine analytically and numerically the conditions under which there is this quantum phase transition. This scheme includes the well-known criterion for the Stoner instability. The obtained phase diagram clearly shows that the polarized phase crucially depends on the interplay among the Rabi coupling energy, the interaction energy per particle, and the kinetic energy per particle.

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“…where γ is an real constant for the polytropic index of the nonlinear term determined by experiment that is elaborated [34][35][36][37][38][39][40][41][42][43] with the variation of γ corresponding to different superfluid regimes. The first term on the right hand side of (1) is dispersion term, whereas the second term on the right-hand side is arising from external harmonic potential, the third term is interaction term with Landau coefficient g(t) > 0 corresponding to repulsive interaction, g(t) < 0 corresponding to attractive interaction.…”

Section: A Problem Formulationmentioning

confidence: 99%

Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

Wang

Zhou

2014

AIP Advances

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We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of superfluid wave function. We also eliminate the interdependence between variable coefficients of the equation terms avoiding the restrictions that occur in some other works. The exact soliton solutions of the GGPE are obtained through the delicate combined utilization of modified lens-type transformation and F-expansion method with dominant features like soliton type properties highlighted.

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Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term

Cited by 17 publications

References 43 publications

Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with p - or d -wave pairing

Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with p - or d -wave pairing

Polarization in a three-dimensional Fermi gas with Rabi coupling

Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

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