Spin-Orbit Coupled One-Dimensional Fermi Gases with Infinite Repulsion

Abstract

The current efforts of studying many-body effects with spin-orbit coupling (SOC) using alkali-metal atoms are impeded by the heating effects due to spontaneous emission. Here, we show that even for SOCs too weak to cause any heating, dramatic many-body effects can emerge in a one-dimensional(1D) spin 1/2 Fermi gas provided the interaction is sufficiently repulsive. For weak repulsion, the effect of a weak SOC (with strength $\Omega$) is perturbative. inducing a weak spin spiral (with magnitude proportional to $\Omega$). However, as the repulsion $g$ increases beyond a critical value ($g_c\sim 1/\Omega$), the magnitude of the spin spiral rises rapidly to a value of order 1 (independent of $\Omega$). Moreover, near $g=+\infty$, the spins of neighboring fermions can interfere destructively due to quantum fluctuations of particle motion, strongly distorting the spin spiral and pulling the spins substantially away from the direction of the local field at various locations. These effects are consequences of the spin-charge separation in the strongly repulsive limit. They will also occur in other 1D quantum gases with higher spins.

4.5 pages, 2 figures, published version

References in corpus (9)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Composite fermion state of spin-orbit coupled bosons

Cited by in corpus (15)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• One-dimensional mixtures of several ultracold atoms: a review
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• CONAN -- the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
• Interplay of phase separation and itinerant magnetism for correlated few fermions in a double-well
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Interaction-induced Bloch Oscillation in a Harmonically Trapped and Fermionized Quantum Gas in One Dimension
• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model