Realistic Rashba and Dresselhaus spin-orbit coupling for neutral atoms

Campbell, Daniel; Juzeliūnas, Gediminas; Spielman, I. B.

doi:10.1103/physreva.84.025602

Cited by 252 publications

(344 citation statements)

References 20 publications

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“…In these experiments, the effective Zeeman fields and the SOC strength are all dependent upon the laser parameters. This is also the case in most of the existing theoretical proposals for realizing Rashba SOC in ultracold atoms 46,47 . For instance, in ref.…”

Section: Discussionmentioning

confidence: 97%

Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

2013

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Pairing in an attractively interacting two-component Fermi gas in the absence of time-reversal symmetry or inversion symmetry may give rise to exotic superfluid states. Notable examples range from the Fulde-Ferrell-Larkin-Ovchinnikov state with a finite centre-of-mass momentum in a polarized Fermi gas to the topological superfluid (TSF) state in a two-dimensional (2D) Fermi gas under Rashba spin-orbit coupling and an out-of-plane Zeeman field. Here we show that a TSF state with a single-component nonzero centre-of-mass momentum, called a topological Fulde-Ferrell (tFF) state, can be stabilized in a 2D Fermi gas with Rashba spinorbit coupling and both in-plane and out-of-plane Zeeman fields. The tFF state features a nontrivial Berry phase, along with unique properties that may be detected using existing experimental techniques.

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Section: Discussionmentioning

confidence: 97%

Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

2013

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“…By transferring Raman photons between two hyperfine ground states, an effective 1D SO coupling (used below) has been created in experiments for both bosonic and fermionic atoms [24][25][26][27][28] , where the effective in-plane and outof-plane Zeeman fields can be tuned independently by varying the detuning and intensity of the Raman coupling lasers. The schemes for the realization of 2D Rashba SO coupling are similar, but involve more laser beams, as proposed in several different theoretical schemes [40][41][42] . Without in-plane Zeeman field h x , the Fermi surface is symmetric around k ¼ 0, and the superfluid pairing is between atoms with opposite momenta k and À k (Fig.…”

Section: System and Hamiltonianmentioning

confidence: 99%

Topological superfluids with finite-momentum pairing and Majorana fermions

et al. 2013

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Majorana fermions (MFs), quantum particles that are their own antiparticles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently MFs have been intensively studied in solid state and cold atomic systems. These studies are generally based on superconducting pairing with zero total momentum. On the other hand, finite total momentum Cooper pairings, known as Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) states, were widely studied in many branches of physics. However, whether FF and LO superconductors can support MFs has not been explored. Here we show that MFs can exist in certain types of gapped FF states, yielding a new quantum matter: topological FF superfluids/superconductors. We demonstrate the existence of such topological FF superfluids and the associated MFs using spin-orbitcoupled degenerate Fermi gases and derive their parameter regions. The implementation of topological FF superconductors in semiconductor/superconductor heterostructures is also discussed.

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“…For instance, in a tripod scheme [7], when one-photon resonant couplings between the three lower-energy states and a higher-energy one are allowed, two dark states emerge, although spontaneous emission is always a cause of concern in this case. D. L. Campbell et al [10] proposed an alternative scheme by cyclically coupling three or four ground or metastable internal states. With sufficient laser intensities, the above induced SOCs can possess a continuous rotation symmetry.…”

mentioning

confidence: 99%

“…The standard description for the former involves U(1) Abelian gauge fields, which can be simulated in neutral atoms through rotation [1,2] or adiabatic translations in far-off-resonant laser fields [3][4][5][6]. Non-Abelian gauge fields, e.g., as in spin-orbit coupling (SOC) [7][8][9][10][11], enable richer possibilities like fractional quantum Hall states. As a result, active researches are targeting the implementations of (SOC) in simple atomic systems.…”

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confidence: 99%

Dynamical generation of arbitrary spin-orbit couplings for neutral atoms

You

2012

Phys. Rev. A

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Spin-orbit coupling (SOC) can give rise to interesting physics, from spin Hall to topological insulators, normally in condensed matter systems. Recently, this topical area has extended into atomic quantum gases in searching for artificial/synthetic gauge potentials. The prospects of tunable interaction and quantum state control promote neutral atoms as nature's quantum emulators for SOC. Y.-J. Lin et al. recently demonstrated a special form of the SOC kxσy: which they interpret as an equal superposition of Rashba and Dresselhaus couplings, in bose condensed atoms [Nature (London) 471, 83 (2011)]. This work reports an idea capable of implementing arbitrary forms of SOC by switching between two pairs of Raman laser pulses like that used by Lin et al.. While one pair affects kxσy for some time, a second pair creates kyσy over other times with Raman pulses from different directions and a subsequent spin rotation into ±kyσx. With sufficient many pulses, the effective actions from different durations are small and accumulate in the same exponent despite that kxσy and ±kyσx do not commute. Our scheme involves no added complication, and can be demonstrated within current experiments. It applies equally to bosonic or fermionic atoms.PACS numbers: 03.75. Mn, 67.85.Fg, 67.85.Jk Introduction. Atomic quantum gases are increasingly viewed as favored model systems for emulating condensed matter physics. Optical lattices resulting from ac Stack shifts to atomic levels, are easily implemented with coherent laser beams, which confine atoms like electrons in solid states. An interesting topic concerns strong correlations as in integer/fractional quantum Hall effect and the analogous spin Hall effect. The standard description for the former involves U(1) Abelian gauge fields, which can be simulated in neutral atoms through rotation [1,2] or adiabatic translations in far-off-resonant laser fields [3][4][5][6]. Non-Abelian gauge fields, e.g., as in spin-orbit coupling (SOC) [7][8][9][10][11], enable richer possibilities like fractional quantum Hall states. As a result, active researches are targeting the implementations of (SOC) in simple atomic systems.For atoms with multiple internal states, or (pseudospin) spinor degrees of freedom, SOC changes single particle spectra and competes with density-density or spindependent interactions, (i.e., spin-exchange and singletpairing interactions). Strong correlations often lead to exotic ground states [12][13][14][15][16][17][18][19][20][21], such as the plane-wave phase and the striped phase discovered recently in pseudo spin-1/2 [13-15] or spin-1 condensates [13]. Other examples offer the triangular-latticed phase or square-latticed phase in spin-2 condensates with axisymmetric SOC [16,17]. In a recent experiment, the JQI group of Spielman observed both Abelian [6] and non-Abelian [9] gauge fields in a pseudo spin-1/2 atomic Bose gas, albeit in a special form ∝ k x σ y of SOC, which is an equally weighted sum of Rashba (∝ k x σ y − k y σ x ) and Dresselhaus (∝ k x σ y + k y σ x ) couplin...

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Realistic Rashba and Dresselhaus spin-orbit coupling for neutral atoms

Cited by 252 publications

References 20 publications

Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

Topological superfluids with finite-momentum pairing and Majorana fermions

Dynamical generation of arbitrary spin-orbit couplings for neutral atoms

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