Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices

Spin Josephson effects of spin–orbit-coupled Bose–Einstein condensates in a non-Hermitian double well

“…Taking the σ Wannier state | j, σ⟩ = ĉ † jσ |0⟩ localized in the jth ( j = l, r) well as basis [57,65,66], we expand the quantum state of system (1) as |Ψ (t)⟩ = j,σ c jσ (t) | j, σ⟩, where c jσ (t) indicates the probability amplitude of finding a pseudospin-σ atom to be localized in the jth well. In the Wannier representation, the Hamiltonian operators can be represented in form of 4 × 4 matrix.…”

Analytical results for a spin–orbit coupled atom held in a non-Hermitian double well under synchronous combined modulations

“…ν(t) is the time-dependent tunneling rate without SO-coupling [91], which can be implemented by adjusting the height of the barrier of the double-well potential in experiment [93][94][95][96]. Ω(t) is the time-dependent Zeeman field [86], which can be experimentally realized by tuning the bias magnetic field and the frequency difference between the two Raman lasers that couple the two internal atomic states [72]. ε j (t) denotes the timedependent gain-loss coefficient [92], where the loss and the gain can be controlled experimentally by a focused electron beam [97,98] and by pumping atoms into the trapped condensate from a physically separate cloud [99,100], respectively.…”

“…In recent years, the experimental realization of artificial SO-coupling of ultracold atoms has provided a new platform for studying the quantum dynamics of ultracold atomic systems [72][73][74][75][76][77][78]. Many of novel quantum spin dynamical phenomena for SO-coupled ultracold atomic systems have been discovered, for instance, selective spin transport in a double-well potential [79], spin Josephson effects [80][81][82], dynamical suppression of tunneling [83], transparent control of spin dynamics [84], coherent control of spin-dependent localization [85], spin tunneling dynamics [86], and so on.…”

Coherent control of spin tunneling in a driven spin–orbit coupled bosonic triple well

“…We consider an SO-coupled ultracold atom confined in a driven triple well and the Hamiltonian of this system reads [21,24] H t a a a a n n t n t n e e H . c .…”

“…Recently, SO coupling of ultracold atomic gases has been realized in experiments [4][5][6][7][8][9], which provides a brand new platform to investigate SO coupling physics, due to the unprecedented tunability of experimental parameters. A number of research works have focused on the interesting dynamics of SO-coupled ultracold atoms, for instance, quantum dynamics of SO-coupled Bose-Einstein condensates (BECs) in a double well [10][11][12][13], coherent control of an SOcoupled atom in a double-well potential [14], controlling stable spin tunneling in a non-Hermitian double-well system [15], Anderson localization of SO-coupled ultracold atomic gases in an optical lattice [16], Macroscopic Klein tunneling in SO-coupled BECs [17], Landau-Zener transition in an SOcoupled BEC [18], spin dynamics of SO-coupled BECs [19], nonequilibrium dynamics of two-component bosons in an optical lattice [20], controlling localization and directed motion of an SO-coupled single atom in a bipartite lattice [21], Bloch oscillation dynamics of an SO-coupled ultracold atomic gas in an optical lattice [22], quantum tunneling of an SO-coupled ultracold atom in an optical lattice with an impurity [23], controlling second-order tunneling of an SOcoupled atom in optical lattices [24], and so on.…”