We present a rigorous study of momentum distribution and $p$ -wave contacts of one-dimensional spinless Fermi gases with an attractive $p$ -wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading ($\ensuremath{\sim}1/{p}^{2}$) and sub-leading terms ($\ensuremath{\sim}1/{p}^{4}$) are determined by two contacts ${C}_{2}$ and ${C}_{4}$ , which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contact ${C}_{2}$ increases monotonically from zero while ${C}_{4}$ exhibits a peak at finite scattering length. In addition, we obtain analytic expressions for $p$ -wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.We present a rigorous study of momentum distribution and $p$-wave contacts of one-dimensional spinless Fermi gases with an attractive $p$-wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading ($\ensuremath{\sim}1/{p}^{2}$) and sub-leading terms ($\ensuremath{\sim}1/{p}^{4}$) are determined by two contacts ${C}_{2}$ and ${C}_{4}$, which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contact ${C}_{2}$ increases monotonically from zero while ${C}_{4}$ exhibits a peak at finite scattering length. In addition, we obtain analytic expressions for $p$-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.

arXiv:1803.05119Physical Review AAug 7, 201820 citations

Thermodynamic contacts and breathing-mode physics of one-dimensional p -wave Fermi gases in the high-temperature limit

Jeff Maki

An important tool for understanding the effects of interactions in harmonically trapped atomic gases is the examination of their collective modes. One such mode is the breathing or monopole mode, which is special as it is constrained to occur at twice the harmonic trapping frequency when the interactions are scale invariant. When the interactions are not scale invariant, the frequency of the breathing mode will deviate from twice the trap frequency. The deviation itself depends on the thermodynamic contacts, which describe how the energy changes with the interactions. In this work I examine how the thermodynamic contacts and the breathing-mode frequency of a spin-polarized one-dimensional (1D) $p$ -wave Fermi gas depend on the 1D scattering volume $\ensuremath{\ell}$ and the effective range $r$ in the high-temperature limit. Such dynamics can be studied in experiments and provide a tool for understanding how the dynamics depends on interactions with a finite effective range.An important tool for understanding the effects of interactions in harmonically trapped atomic gases is the examination of their collective modes. One such mode is the breathing or monopole mode, which is special as it is constrained to occur at twice the harmonic trapping frequency when the interactions are scale invariant. When the interactions are not scale invariant, the frequency of the breathing mode will deviate from twice the trap frequency. The deviation itself depends on the thermodynamic contacts, which describe how the energy changes with the interactions. In this work I examine how the thermodynamic contacts and the breathing-mode frequency of a spin-polarized one-dimensional (1D) $p$-wave Fermi gas depend on the 1D scattering volume $\ensuremath{\ell}$ and the effective range $r$ in the high-temperature limit. Such dynamics can be studied in experiments and provide a tool for understanding how the dynamics depends on interactions with a finite effective range.

arXiv:2110.05725Physical Review ADec 20, 20215 citations

Itinerant ferromagnetism in one-dimensional two-component Fermi gases

Yuzhu Jiang, Denis V. Kurlov, Xi‐Wen Guan +2 more

We study a one-dimensional (1D) two-component atomic Fermi gas with an infinite intercomponent contact repulsion. It is found that adding an attractive nearly resonant odd-wave interaction breaking the rotational symmetry one can make the ground state ferromagnetic. A promising system for the observation of this itinerant ferromagnetic state is a 1D gas of $^{40}\mathrm{K}$ atoms, where three dimensional $s$ -wave and $p$ -wave Feshbach resonances are very close to each other and the 1D confinement significantly reduces the inelastic decay.We study a one-dimensional (1D) two-component atomic Fermi gas with an infinite intercomponent contact repulsion. It is found that adding an attractive nearly resonant odd-wave interaction breaking the rotational symmetry one can make the ground state ferromagnetic. A promising system for the observation of this itinerant ferromagnetic state is a 1D gas of $^{40}\mathrm{K}$ atoms, where three dimensional $s$-wave and $p$-wave Feshbach resonances are very close to each other and the 1D confinement significantly reduces the inelastic decay.

arXiv:1512.01392Physical Review AJul 5, 201621 citations

We present a rigorous study of momentum distribution and

p

-wave contacts of one-dimensional spinless Fermi gases with an attractive

p

-wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading ($\ensuremath{\sim}1/{p}^{2}$) and sub-leading terms ($\ensuremath{\sim}1/{p}^{4}$) are determined by two contacts

{C}_{2}

and

{C}_{4}

, which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contact

{C}_{2}

increases monotonically from zero while

{C}_{4}

exhibits a peak at finite scattering length. In addition, we obtain analytic expressions for

p

-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.

p

-wave Fermi gas depend on the 1D scattering volume $\ensuremath{\ell}$ and the effective range

r

in the high-temperature limit. Such dynamics can be studied in experiments and provide a tool for understanding how the dynamics depends on interactions with a finite effective range.

^{40}\mathrm{K}

atoms, where three dimensional

s

-wave and

p

-wave Feshbach resonances are very close to each other and the 1D confinement significantly reduces the inelastic decay.