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Physical Review A

Selective coherent spin transportation in a spin-orbit-coupled bosonic junction

Zi-Fa Yu, Ju-Kui Xue

Published Sep 18, 2014• 27 citations
Publisher

Abstract

We propose a theoretical scheme for realizing selective coherent spin transportation in a spin-orbit-coupled bosonic gas trapped in a symmetric double well by fast modulation of the energy-level unbalance between the two wells. The modulation can be tuned in such a way that an arbitrarily, a priori prescribed spin type (single spin or a spin pair with opposite spins) and the number of these spin bosons with or without spin flipping are allowed to tunnel. Furthermore, prescribed superexchange of spin bosons (where only pure spin exchange is allowed between the two wells and the atom number in each well is not changed) is also presented. The resonance conditions of realizing this selective coherent spin transportation are obtained analytically and confirmed numerically. This engineering provides a possible means for spin control and accurate counting or efficient filtering of the number of spins.

DOI
10.1103/physreva.90.033618

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We propose a theoretical scheme for realizing selective coherent spin transportation in a spin-orbit-coupled bosonic gas trapped in a symmetric double well by fast modulation of the energy-level unbalance between the two wells. The modulation can be tuned in such a way that an arbitrarily, a priori prescribed spin type (single spin or a spin pair with opposite spins) and the number of these spin bosons with or without spin flipping are allowed to tunnel. Furthermore, prescribed superexchange of spin bosons (where only pure spin exchange is allowed between the two wells and the atom number in each well is not changed) is also presented. The resonance conditions of realizing this selective coherent spin transportation are obtained analytically and confirmed numerically. This engineering provides a possible means for spin control and accurate counting or efficient filtering of the number of spins.
A scheme for selective coherent destruction of tunneling (CDT) of strongly interacting bosons in a symmetric double-well potential, in which an arbitrarily and a priori prescribed number of bosons are allowed to tunnel from one well to the other one is theoretically proposed. As compared to the many-body CDT scheme recently proposed by Gong, Molina, and H\"anggi [Phys. Rev. Lett. 103, 133002 (2009)] and based on a fast modulation of the self-interaction strength, the method suggested in this work exploits the traditional method of fast modulation of the energy level unbalance between the two wells by an external ac force.
Abstract We propose a scheme for precise control of the tunneling dynamics of dipolar bosons in shaken triple-well potentials. In high-frequency regimes and under resonance conditions, we have analytically and numerically demonstrated that we can transport an a priori prescribed number of dipolar bosons along different pathways and in different directions by adjusting the driving parameters. These results extend the previous many-body selective coherent destruction of tunneling schemes for nondipolar bosons in double-well potentials (Gong et al 2009 Phys. Rev. Lett. 103 133002 ; Longhi 2012 Phys. Rev. A 86 044102 ), thus offering an efficient way to design long-range coherent quantum transportation.
Exact solutions for spin-orbit (SO) coupled cold atomic systems are very important and rare in physics. In this paper, we propose a simple method of combined modulations to generate the analytic exact solutions for an SO-coupled boson held in a driven double well. For the cases of synchronous combined modulations and the spin-conserving tunneling, we obtain the general analytical accurate solutions of the system respectively. For the case of spin-flipping tunneling under asynchronous combined modulations, we get the special exact solutions in simple form when the driving parameters satisfy certain conditions. Based on these obtained exact solutions, we reveal some intriguing quantum spin dynamical phenomena, for instance, the arbitrary population transfer (APT) with and/or without spin-flipping, the controlled coherent population conservation (CCPC), and the controlled coherent population inversion (CCPI). The results may have potential applications in the preparation of accurate quantum entangled states and quantum information processing.
Abstract In this paper, we study how to apply a periodic driving field to control stable spin tunneling in a non-Hermitian spin–orbit (SO) coupled bosonic double-well system. By means of a high-frequency approximation, we obtain the analytical Floquet solutions and their associated quasienergies and thus construct the general non-Floquet solutions of the dissipative SO coupled bosonic system. Based on detailed analysis of the Floquet quasienergy spectrum, the profound effect of system parameters and the periodic driving field on the stability of spin-dependent tunneling is investigated analytically and numerically for both balanced and unbalanced gain–loss between two wells. Under balanced gain and loss, we find that the stable spin-flipping tunneling is preferentially suppressed with the increase of gain–loss strength. When the ratio of Zeeman field strength to periodic driving frequency Ω/ω is even, there is a possibility that continuous stable parameter regions will exist. When Ω/ω is odd, nevertheless, only discrete stable parameter regions are found. Under unbalanced gain and loss, whether Ω/ω is even or odd, we can get parametric equilibrium conditions for the existence of stable spin tunneling. The results could be useful for the experiments of controlling stable spin transportation in a non-Hermitian SO coupled system.
Abstract We investigate the coherent control of spin tunneling for a spin–orbit (SO) coupled boson trapped in a driven triple well. In the high-frequency limit, the quasienergies of the system are obtained analytically and the fine energy band structures are shown. By regulating the driving parameters, we reveal that the directed spin-flipping or spin-conserving tunneling of an SO-coupled boson occurs along different pathways and in different directions. The analytical results are demonstrated by numerical simulations and good agreements are found. Further, an interesting scheme of quantum spin tunneling switch with or without spin-flipping is presented. The results may have potential applications in the design of spintronic devices.
Abstract Exact solutions for spin-orbit (SO)-coupled cold atomic systems are very important and rare in physics. In this paper, we propose a simple method of combined modulations to generate the exactly analytic solutions for a single SO-coupled ultracold atom held in a driven double well. For the cases of synchronous combined modulations and the spin-conserving tunneling, we obtain the generally accurate solutions of this system respectively. For the case of spin-flipping tunneling under asynchronous combined modulations, we get the specially exact solutions in simple form when the driving parameters are appropriately chosen. Based on these obtained exact solutions, we reveal some intriguing quantum spin dynamical phenomena, for instance, the arbitrary coherent population transfer with and/or without spin-flipping, the controlled coherent population conservation, and the controlled coherent population inversion. The results may provide a possibility for generating the accurate quantum entangled states and the exact control of spin dynamics for a SO-coupled ultracold atomic system.