Abstract
By using the numerically exact density-matrix renormalization group (DMRG) approach, we investigate the ground states of harmonically trapped one-dimensional (1D) fermions with population imbalance and find that the Larkin–Ovchinnikov (LO) state, which is a condensed state of fermion pairs with nonzero center-of-mass momentum, is realized for a wide range of parameters. The phase diagram comprising the two phases of (i) an LO state at the trap center and a balanced condensate at the periphery and (ii) an LO state at the trap center and a pure majority component at the periphery is obtained. The reduced two-body density matrix indicates that most of the minority atoms contribute to the LO-type quasi-condensate. With the time-dependent DMRG, we also investigate the real-time dynamics of a system of 1D fermions in response to a spin-flip excitation.
Highlights
By using the numerically exact density-matrix renormalization group (DMRG) approach, we investigate the ground states of harmonically trapped one-dimensional (1D) fermions with population imbalance and find that the Larkin–Ovchinnikov (LO) state, which is a condensed state of fermion pairs with nonzero center-of-mass momentum, is realized for a wide range of parameters
We study the dynamics of a 1D, harmonically trapped Fermi gas after a population imbalance is introduced by flipping the spin of a single atom
We have studied the ground state and dynamics of harmonically confined 1D Fermi gases with population imbalance
Summary
We study the ground state of the trapped, population-imbalanced fermionic system in 1D within the single-channel model. The relation between as3D and the scattering length in a 1D trap as1D has been given in [9], for the case in which the transverse confinement can be approximated by a 2D harmonic potential with (angular) frequency ω⊥. Provided that the size of the ground state of the transverse confinement a⊥ ≡ (h /μω⊥)1/2 is much larger than an effective range r0 of the bare potential, as1D is given by as1D a2. Where m is the atomic mass, V (z) ≡ κz2/2 is the harmonic potential in the z-direction and g is the coupling constant. We discretize this Hamiltonian to perform calculations in the DMRG framework. 1), with coupling constant case of negative U , which corresponds to a positive as1D and attractive interaction between atoms with opposite spins
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
