According to the"no-node"theorem,the many-body ground state wavefunctions of conventional Bose–Einstein condensations(BEC)are positive-definite,thus time-reversal symmetry cannot be spontaneously broken.We ...According to the"no-node"theorem,the many-body ground state wavefunctions of conventional Bose–Einstein condensations(BEC)are positive-definite,thus time-reversal symmetry cannot be spontaneously broken.We find that multi-component bosons with spin-orbit coupling provide an unconventional type of BECs beyond this paradigm.We focus on a subtle case of isotropic Rashba spin-orbit coupling and the spin-independent interaction.In the limit of the weak confining potential,the condensate wavefunctions are frustrated at the Hartree–Fock level due to the degeneracy of the Rashba ring.Quantum zero-point energy selects the spin-spiral type condensate through the"order-from-disorder"mechanism.In a strong harmonic confining trap,the condensate spontaneously generates a half-quantum vortex combined with the skyrmion type of spin texture.In both cases,time-reversal symmetry is spontaneously broken.These phenomena can be realized in both cold atom systems with artificial spin-orbit couplings generated from atom-laser interactions and exciton condensates in semi-conductor systems.展开更多
The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density un...The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density under the periodic boundary conditions(PBC)is obtained by using the Landau-Zener formula(LZF),which is consistent with the scaling of defect production provided by the Kibble-Zurek mechanism(KZM).Under the open boundary conditions(OBC),quench dynamics becomes more complicated due to edge states.The behaviors of the system quenching across different phases show that defect production no longer satisfies the KZM paradigm since complicated couplings exist under OBC.Some new dynamical features are revealed.展开更多
基金by US NSF-DMR 1105945 and AFOSR-YIP program.X.F.Z.acknowledges the support of CUSF,,SRFD(20103402120031)and the China Postdoctoral Science.
文摘According to the"no-node"theorem,the many-body ground state wavefunctions of conventional Bose–Einstein condensations(BEC)are positive-definite,thus time-reversal symmetry cannot be spontaneously broken.We find that multi-component bosons with spin-orbit coupling provide an unconventional type of BECs beyond this paradigm.We focus on a subtle case of isotropic Rashba spin-orbit coupling and the spin-independent interaction.In the limit of the weak confining potential,the condensate wavefunctions are frustrated at the Hartree–Fock level due to the degeneracy of the Rashba ring.Quantum zero-point energy selects the spin-spiral type condensate through the"order-from-disorder"mechanism.In a strong harmonic confining trap,the condensate spontaneously generates a half-quantum vortex combined with the skyrmion type of spin texture.In both cases,time-reversal symmetry is spontaneously broken.These phenomena can be realized in both cold atom systems with artificial spin-orbit couplings generated from atom-laser interactions and exciton condensates in semi-conductor systems.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10674127 and 60621064, the Knowledge Innoration Project of Chinese Academy of Sciences, the National Basic Research Programme of China under Grant No 2006CB921907, the New Century Excellent Talent Project （NCET） of the Ministry of Education of China.
文摘我们在场为高效地用概率的纠缠构造高度维的簇状态的一个计划量门。就算所有纠缠的量门仅仅与任意的小可能性成功，要求的计算开销与 1/p 和 n 两个都高效地可伸缩，这被显示出就算所有纠缠的量门仅仅与任意的小可能性成功。[从作者抽象]
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11974334,11574294,and 11774332)。
文摘The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density under the periodic boundary conditions(PBC)is obtained by using the Landau-Zener formula(LZF),which is consistent with the scaling of defect production provided by the Kibble-Zurek mechanism(KZM).Under the open boundary conditions(OBC),quench dynamics becomes more complicated due to edge states.The behaviors of the system quenching across different phases show that defect production no longer satisfies the KZM paradigm since complicated couplings exist under OBC.Some new dynamical features are revealed.
