High-momentum distribution with a subleading 
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 tail in odd-wave interacting one-dimensional Fermi gases

Cui, Xiaoling; Dong, Huifang

doi:10.1103/physreva.94.063650

Cited by 33 publications

(30 citation statements)

References 41 publications

(95 reference statements)

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“…Apart from this, there now appear several molecular states due to the different orientation of the angular momentum quantization of the molecule. As a result, the contact parameters has to be generalized which leads to a set of universal relations that has been discussed in detail in recent literature [16][17][18][19][20][21][22]. Explicit calculations of the p-wave contact within the Noziéres and Schmit-Rink formula has been carried out and finds general good agreement with the experimental findings [23].…”

Section: Introductionsupporting

confidence: 49%

Strongly interacting p -wave Fermi gas in two dimensions: Universal relations and breathing mode

Zhang

2017

Phys. Rev. A

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The contact is an important concept that characterizes the universal properties of a strongly interacting quantum gas. It appears in both thermodynamic (energy, pressure, etc.) and dynamic quantities (radio-frequency and Bragg spectroscopies, etc.) of the system. Very recently, the concept of contact has been extended to higher partial waves, in particular, the p-wave contacts have been experimentally probed in recent experiment. So far discussions on p-wave contacts have been limited to three-dimensions. In this paper, we generalize the p-wave contacts to two-dimensions and derive a series of universal relations, including the adiabatic relations, high momentum distribution, virial theorem and pressure relation. At high temperature and low density limit, we calculated the pwave contacts explicitly using virial expansion. A formula which directly connects the shift of the breathing mode frequency and the p-wave contacts are given in a harmonically trapped system. Finally, we also derive the relationships between interaction parameters in three and two dimensional Fermi gas and discuss possible experimental realization of two dimensional Fermi gas with p-wave interactions.

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Section: Introductionsupporting

confidence: 49%

Strongly interacting p -wave Fermi gas in two dimensions: Universal relations and breathing mode

Zhang

2017

Phys. Rev. A

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“…formally as Eqs. (26) and (27). Analogously, by subtracting [27] * × Ψ from Ψ ′ * × [26], and integrating over the domain D ǫ , the set of all configurations (r i , r j ) in which r = |r i − r j | > ǫ, we obtain…”

Section: A Adiabatic Energy Relationsmentioning

confidence: 99%

“…All these relations are characterized by the only universal quantity named contact, and therefore known as the contact theory. During past few years, the concept of contact theory was further generalized to higher-partial-wave interactions [13][14][15][16][17][18][19][20] as well as to low dimensions [21][22][23][24][25][26][27][28][29], and more contacts appear when additional two-body parameters are involved.…”

Section: Introductionmentioning

confidence: 99%

Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions

2020

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We present a comprehensive derivation of a set of universal relations for spin-orbit-coupled Fermi gases in three or two dimension, which follow from the short-range behavior of the two-body physics. Besides the adiabatic energy relations, the large-momentum distribution, the grand canonical potential and pressure relation derived in our previous work for three-dimensional systems [Phys. Rev. Lett. 120, 060408 (2018)], we further derive high-frequency tail of the radio-frequency spectroscopy and the short-range behavior of the pair correlation function. In addition, we also extend the derivation to two-dimensional systems with Rashba type of spin-orbit coupling. To simply demonstrate how the spin-orbit-coupling effect modifies the two-body short-range behavior, we solve the twobody problem in the sub-Hilbert space of zero center-of-mass momentum and zero total angular momentum, and perturbatively take the spin-orbit-coupling effect into account at short distance, since the strength of the spin-orbit coupling should be much smaller than the corresponding scale of the finite range of interatomic interactions. The universal asymptotic forms of the two-body wave function at short distance are then derived, which do not depend on the short-range details of interatomic potentials. We find that new scattering parameters need to be introduced because of spin-orbit coupling, besides the traditional s-and p-wave scattering length (volume) and effective ranges. This is a general and unique feature for spin-orbit-coupled systems. We show how these twobody parameters characterize the universal relations in the presence of spin-orbit coupling. This work probably shed light for understanding the profound properties of the many-body quantum systems in the presence of the spin-orbit coupling. *

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“…One can relate the bare parameters of the odd-wave interaction (λ and ν) to the physical scattering parameters by calculating diagrammatically the two-body scattering amplitude [33]:…”

Section: B Odd-wave Interactionmentioning

confidence: 99%

“…(19), we arrive to the total Lagrangian L = L σ + L (0) ρ + L ρσ given by Eqs. (31) - (33) in the main text. The coefficients in the Lagrangian are given by…”

Section: Total Bosonized Lagrangianmentioning

confidence: 99%

One-dimensional two-component fermions with contact even-wave repulsion and SU(2)-symmetry-breaking near-resonant odd-wave attraction

et al. 2019

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We consider a one-dimensional (1D) two-component atomic Fermi gas with contact interaction in the even-wave channel (Yang-Gaudin model) and study the effect of an SU(2) symmetry breaking near-resonant odd-wave interaction within one of the components. Starting from the microscopic Hamiltonian, we derive an effective field theory for the spin degrees of freedom using the bosonization technique. It is shown that at a critical value of the odd-wave interaction there is a first-order phase transition from a phase with zero total spin and zero magnetization to the spin-segregated phase where the magnetization locally differs from zero.

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High-momentum distribution with a subleading k−3 tail in odd-wave interacting one-dimensional Fermi gases

Cited by 33 publications

References 41 publications

Strongly interacting p -wave Fermi gas in two dimensions: Universal relations and breathing mode

Strongly interacting p -wave Fermi gas in two dimensions: Universal relations and breathing mode

Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions

One-dimensional two-component fermions with contact even-wave repulsion and SU(2)-symmetry-breaking near-resonant odd-wave attraction

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