Topological phases in spin-orbit-coupled dipolar lattice bosons

Ng, H. T.

doi:10.1103/physreva.90.053625

Cited by 6 publications

(3 citation statements)

References 42 publications

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“…The Majorana modes can exhibit even if the fermions interact with their nearest neighbours 23 28 . This can be indicated by examining the ground-state degeneracy.…”

Section: Majorana Fermionsmentioning

confidence: 99%

“…In addition, the effects of long-range interactions between fermions on the Majorana modes [23][24][25][26][27][28] have recently been studied. The long-range interactions can broaden the range of parameters for exhibiting Majorana fermions [23,28].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the effects of long-range interactions between fermions on the Majorana modes 23 24 25 26 27 28 have recently been studied. The long-range interactions can broaden the range of parameters for exhibiting Majorana fermions 23 28 . It is natural to ask the effect of long ranged interactions on decoherence of the Majorana modes.…”

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confidence: 99%

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Decoherence of interacting Majorana modes

2015

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We study the decoherence of Majorana modes of a fermion chain, where the fermions interact with their nearest neighbours. We investigate the effect of dissipation and dephasing on the Majorana modes of a fermionic chain. The dissipative and dephasing noises induce the non-parity- and parity-preserving transitions between the eigenstates of the system, respectively. Therefore, these two types of noises lead to the different decoherence mechanisms. In each type of noise, we discuss the low- and high-frequency regimes to describe the different environments. We numerically calculate the dissipation and dephasing rates in the presence of long-range interactions. We find that the decoherence rate of interacting Majorana modes is different to that of non-interacting modes. We show the examples that the long-range interactions can reduce the decoherence rate. It is advantageous to the potential applications of quantum information processing.

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“…The Majorana modes can exhibit even if the fermions interact with their nearest neighbours 23 28 . This can be indicated by examining the ground-state degeneracy.…”

Section: Majorana Fermionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Decoherence of interacting Majorana modes

2015

Sci Rep

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Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

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The experimental and theoretical research of spin-orbit-coupled ultracold atomic gases has advanced and expanded rapidly in recent years. Here, we review some of the progress that either was pioneered by our own work, has helped to lay the foundation, or has developed new and relevant techniques. After examining the experimental accessibility of all relevant spin-orbit coupling parameters, we discuss the fundamental properties and general applications of spin-orbit-coupled Bose-Einstein condensates (BECs) over a wide range of physical situations. For the harmonically trapped case, we show that the ground state phase transition is a Dicke-type process and that spin-orbit-coupled BECs provide a unique platform to simulate and study the Dicke model and Dicke phase transitions. For a homogeneous BEC, we discuss the collective excitations, which have been observed experimentally using Bragg spectroscopy. They feature a roton-like minimum, the softening of which provides a potential mechanism to understand the ground state phase transition. On the other hand, if the collective dynamics are excited by a sudden quenching of the spin-orbit coupling parameters, we show that the resulting collective dynamics can be related to the famous Zitterbewegung in the relativistic realm. Finally, we discuss the case of a BEC loaded into a periodic optical potential. Here, the spin-orbit coupling generates isolated flat bands within the lowest Bloch bands whereas the nonlinearity of the system leads to dynamical instabilities of these Bloch waves. The experimental verification of this instability illustrates the lack of Galilean invariance in the system.

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Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

Zhang

2015

Phys. Rev. A

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We study a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate with repulsive contact interactions by both the variational method and the imaginary time evolution of the GrossPitaevskii equation. The dipoles are completely polarized along one direction in the 2D plane to provide an effective attractive dipole-dipole interaction. We find two types of solitons as the ground states arising from such attractive dipole-dipole interactions: a plane wave soliton with a spatially varying phase and a stripe soliton with a spatially oscillating density for each component. Both types of solitons possess smaller size and higher anisotropy than the soliton without spin-orbit coupling. Finally, we discuss the properties of moving solitons, which are nontrivial because of the violation of Galilean invariance.

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Topological phases in spin-orbit-coupled dipolar lattice bosons

Cited by 6 publications

References 42 publications

Decoherence of interacting Majorana modes

Decoherence of interacting Majorana modes

Properties of spin–orbit-coupled Bose–Einstein condensates

Bright solitons in a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate

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