Dynamics of strongly interacting Fermi gases, consisting of a 50-50 mixture of two different fermionic species, is investigated. For the equation of state we consider a Padé [2/2] approximations, which gives the weak-coupling perturbative formula (up to 4th order) in the low density regime, the unitary-limit Monte Carlo result in the high density regime, and reproduces the 4-fermion prediction for dimer-dimer scattering length in the BEC region. We use a time-dependent LDA to derive various properties of the Fermi gas under a harmonic confinement and compare them with the data of very recent experiments of 6Li atoms across a Feshbach resonance.Dynamics of strongly interacting Fermi gases, consisting of a 50-50 mixture of two different fermionic species, is investigated. For the equation of state we consider a Padé [2/2] approximations, which gives the weak-coupling perturbative formula (up to 4th order) in the low density regime, the unitary-limit Monte Carlo result in the high density regime, and reproduces the 4-fermion prediction for dimer-dimer scattering length in the BEC region. We use a time-dependent LDA to derive various properties of the Fermi gas under a harmonic confinement and compare them with the data of very recent experiments of 6Li atoms across a Feshbach resonance.

arXiv:cond-mat/0408283Aug 12, 20040 citations

Entanglement of Fermi gases in a harmonic trap

X. X. Yi

arXiv:quant-ph/0510204The European Physical Journal DJul 11, 20065 citations

Emergent Infrared Conformal Dynamics in Strongly Interacting Quantum Gases

Jeff Maki, Fei Zhou

Conformal dynamics can appear in quantum gases when the interactions are fine tuned to be scale symmetric. One well-known example of such a system is a three-dimensional Fermi gas at a Feshbach resonance. In this letter, we illustrate how conformal dynamics can also emerge in the infrared limit in one-dimensional harmonically trapped Fermi gases, even though the system may not have exactly scale symmetric interactions. The conformal dynamics are induced by strong renormalization effects due to the nearby infrared stable scale invariant interaction. When the system approaches the infrared limit, or when the external harmonic trapping frequency $ω_f \rightarrow 0$ , the dynamics are characterized by a unique vanishingly small dissipation rate, $Γ\propto ω_f$ , rather than a constant as in generic interacting systems. We also examine the work done in a two-quench protocol, $W$ , and the average power $\mathcal{P}$ . In one dimension, the average power, $\mathcal{P} \propto ω_f$ , becomes vanishingly small in the infrared limit, a signature of emergent conformal dynamics.Conformal dynamics can appear in quantum gases when the interactions are fine tuned to be scale symmetric. One well-known example of such a system is a three-dimensional Fermi gas at a Feshbach resonance. In this letter, we illustrate how conformal dynamics can also emerge in the infrared limit in one-dimensional harmonically trapped Fermi gases, even though the system may not have exactly scale symmetric interactions. The conformal dynamics are induced by strong renormalization effects due to the nearby infrared stable scale invariant interaction. When the system approaches the infrared limit, or when the external harmonic trapping frequency $ω_f \rightarrow 0$, the dynamics are characterized by a unique vanishingly small dissipation rate, $Γ\propto ω_f$, rather than a constant as in generic interacting systems. We also examine the work done in a two-quench protocol, $W$, and the average power $\mathcal{P}$. In one dimension, the average power, $\mathcal{P} \propto ω_f$, becomes vanishingly small in the infrared limit, a signature of emergent conformal dynamics.

arXiv:2305.19061May 30, 20230 citations

ω_f \rightarrow 0

, the dynamics are characterized by a unique vanishingly small dissipation rate,

Γ\propto ω_f

, rather than a constant as in generic interacting systems. We also examine the work done in a two-quench protocol,

W

, and the average power

\mathcal{P}

. In one dimension, the average power,

\mathcal{P} \propto ω_f

, becomes vanishingly small in the infrared limit, a signature of emergent conformal dynamics.