We perform theoretical studies of the interplay between disorder, spin-orbit coupling (SOC), and Rabi fields, and show that both SOC and Rabi fields can be used to dramatically control the degree of Anderson localization of a Bose-Einstein condensate in bichromatic lattices. We obtain ground-state phase diagrams in the SOC and Rabi field plane for different values of disorder strength and use realistic experimental parameters compatible with $^{39}\mathrm{K}$ . We find cases of fixed disorder and SOC (Rabi field), where the Rabi field (SOC) reduces the threshold for localization and controls the localization length. We also show regimes of fixed disorder and Rabi field, where the extent of the ground-state wave function is periodic in the SOC, leading to alternating regions of stronger and weaker localization as SOC changes. Lastly, we describe examples of fixed disorder and SOC, where tuning the Rabi field leads to a strong localization peak.We perform theoretical studies of the interplay between disorder, spin-orbit coupling (SOC), and Rabi fields, and show that both SOC and Rabi fields can be used to dramatically control the degree of Anderson localization of a Bose-Einstein condensate in bichromatic lattices. We obtain ground-state phase diagrams in the SOC and Rabi field plane for different values of disorder strength and use realistic experimental parameters compatible with $^{39}\mathrm{K}$. We find cases of fixed disorder and SOC (Rabi field), where the Rabi field (SOC) reduces the threshold for localization and controls the localization length. We also show regimes of fixed disorder and Rabi field, where the extent of the ground-state wave function is periodic in the SOC, leading to alternating regions of stronger and weaker localization as SOC changes. Lastly, we describe examples of fixed disorder and SOC, where tuning the Rabi field leads to a strong localization peak.

Physical Review AMar 15, 20235 citations

Spin Orbit Coupling in a Spin-1 System

Ryan Price, Daniel Campbell, Andika Putra +2 more

Bulletin of the American Physical SocietyJun 5, 20140 citations

Universal Quantum Computation through Control of Spin-Orbit Coupling

Dimitrije Stepanenko, N. E. Bonesteel

We propose a method for quantum computation which uses control of spin-orbit coupling in a linear array of single electron quantum dots. Quantum gates are carried out by pulsing the exchange interaction between neighboring electron spins, including the anisotropic corrections due to spin-orbit coupling. Control over these corrections, even if limited, is sufficient for universal quantum computation over qubits encoded into pairs of electron spins. The number of voltage pulses required to carry out either single-qubit rotations or controlled-Not gates scales as the inverse of a dimensionless measure of the degree of control of spin-orbit coupling.We propose a method for quantum computation which uses control of spin-orbit coupling in a linear array of single electron quantum dots. Quantum gates are carried out by pulsing the exchange interaction between neighboring electron spins, including the anisotropic corrections due to spin-orbit coupling. Control over these corrections, even if limited, is sufficient for universal quantum computation over qubits encoded into pairs of electron spins. The number of voltage pulses required to carry out either single-qubit rotations or controlled-Not gates scales as the inverse of a dimensionless measure of the degree of control of spin-orbit coupling.

arXiv:quant-ph/0403023Physical Review LettersSep 29, 200481 citations

Cavity-Assisted Spin Orbit Coupling

Chuanzhou Zhu, Lin Dong, Han Pu

Bulletin of the American Physical SocietyMar 16, 20160 citations

Rotating spin–orbit coupled Bose–Einstein condensates in concentrically coupled annular traps

Xiao-Fei Zhang, Biao Li, Shougang Zhang

We study trapped 2D spin-1 Bose–Einstein condensates with isotropic spin–orbit coupling and rotation, showing rich ground state phases and phase transition results from the nontrivial interplay among spin–orbit coupling, rotation and confinement. We show that for experimentally feasible parameters and only in the presence of spin–orbit coupling, a double-ring structure for the longitudinal magnetization of the system can be formed within the minima of inner and/or outer rings. Moreover, the rotation effectively enhances the effect of the spin–orbit coupling and controls the location of atoms between both rings. Our results provide a scenario of controlling different phases of a spin–orbit coupled condensate by varying the spin–orbit coupling strength and rotation frequency, instead of using the conventional approach of changing the s-wave scattering length.We study trapped 2D spin-1 Bose–Einstein condensates with isotropic spin–orbit coupling and rotation, showing rich ground state phases and phase transition results from the nontrivial interplay among spin–orbit coupling, rotation and confinement. We show that for experimentally feasible parameters and only in the presence of spin–orbit coupling, a double-ring structure for the longitudinal magnetization of the system can be formed within the minima of inner and/or outer rings. Moreover, the rotation effectively enhances the effect of the spin–orbit coupling and controls the location of atoms between both rings. Our results provide a scenario of controlling different phases of a spin–orbit coupled condensate by varying the spin–orbit coupling strength and rotation frequency, instead of using the conventional approach of changing the s-wave scattering length.

Laser PhysicsAug 20, 201315 citations

^{39}\mathrm{K}

. We find cases of fixed disorder and SOC (Rabi field), where the Rabi field (SOC) reduces the threshold for localization and controls the localization length. We also show regimes of fixed disorder and Rabi field, where the extent of the ground-state wave function is periodic in the SOC, leading to alternating regions of stronger and weaker localization as SOC changes. Lastly, we describe examples of fixed disorder and SOC, where tuning the Rabi field leads to a strong localization peak.