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

Universal contact of strongly interacting Fermi gases

Mark J. DelloStritto, Theja N. De Silva

Bulletin of the American Physical SocietyMar 22, 20110 citations

Contact Theory for Spin-Orbit-Coupled Fermi Gases

Shi-Guo Peng, Caixia Zhang, Shina Tan +1 more

We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic potentials. We find that two 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. Consequently, two new adiabatic energy relations with respect to the new scattering parameters are obtained, in which a new contact is involved because of spin-orbit coupling. In addition, we derive the asymptotic behavior of the large-momentum distribution, and find that the subleading tail is corrected by the new contact. This work paves the way for exploring the profound properties of spin-orbit-coupled many-body systems, according to two-body solutions.We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic potentials. We find that two 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. Consequently, two new adiabatic energy relations with respect to the new scattering parameters are obtained, in which a new contact is involved because of spin-orbit coupling. In addition, we derive the asymptotic behavior of the large-momentum distribution, and find that the subleading tail is corrected by the new contact. This work paves the way for exploring the profound properties of spin-orbit-coupled many-body systems, according to two-body solutions.

arXiv:1710.10579Physical Review LettersFeb 9, 201818 citations

Thermal slip of Fermi gases

A. V. Latyshev, N. N. Lyubimova, Aleksandr Alekseevich Yushkanov

Russian Physics JournalJul 1, 20060 citations

Cooling and thermometry of atomic Fermi gases

Roberto Onofrio

Uspekhi Fizicheskih NaukOct 25, 201619 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.