Single-branch theory of ultracold Fermi gases with artificial Rashba spin–orbit coupling

Maldonado-Mundo, Daniel; Öhberg, Patrik; Valiente, Manuel

doi:10.1088/0953-4075/46/13/134002

Cited by 4 publications

(6 citation statements)

References 31 publications

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“…This is a typical situation that also occurs, for instance, in the study of the ferromagnetic transition [34] in repulsive Fermi gases [35][36][37] and is resolved by going beyond first-order perturbation theory, which can result in an apparent first-order transition [37,38], or using nonperturbative methods [39,40], which predict a second-order phase transition and are in good agreement with Monte Carlo simulations [41]. Our findings are the natural starting point for higher order corrections [31] and nonperturbative treatments, and can still be improved at the mean-field level [42]. Moreover, if, as our results suggest, the transition to finite momentum is continuous, the critical point can be obtained by calculating only the second-order response function F(ξ,z) but with improved treatments of the interactions.…”

Section: O) the Extra Hartree Shift Of Eq (22) Is Easily Calculatedsupporting

confidence: 69%

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Non-Galilean response of Rashba-coupled Fermi gases

Maldonado-Mundo

Öhberg

et al. 2013

Phys. Rev. A

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We consider the effect of a momentum kick on the ground state of a noninteracting two-dimensional Fermi gas subject to Rashba spin-orbit coupling. Although the total momentum is a constant of motion, the gas does not obey the rules of Galilean relativity. Upon imprinting a small overall velocity to the noninteracting gas, we find that the Fermi sea is deformed in a nontrivial way. We also consider a weakly repulsive Fermi gas and find, from its Hartree shift, that the total ground state of the system may change into a deformed, finite-momentum ground state as the repulsion is increased beyond a critical value, without the need for any external Zeeman fields. We also discuss possible experimental signatures of these effects.

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Section: O) the Extra Hartree Shift Of Eq (22) Is Easily Calculatedsupporting

confidence: 69%

“…The dimensionless interaction parameter ξ = mg/4πh 2 [30] must here be compared with the only dimensionless parameter z of the noninteracting gas. The typical interaction energy gρ/4 [31] should be smaller than the Fermi energy E F = πh 2 ρz/2m, which gives ξ < z/2.…”

Section: Weakly Interacting Fermi Gasmentioning

confidence: 98%

Non-Galilean response of Rashba-coupled Fermi gases

Maldonado-Mundo

Öhberg

et al. 2013

Phys. Rev. A

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“…Refs. [274][275][276] describe how interactions are modified in the presence of strong Rashba coupling, offering a relation between physical scattering lengths and mean-field interactions.…”

Section: Interacting Fermi Gases With Socmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

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Abstract. Gauge fields are central in our modern understanding of physics at all scales. At the highest energy scales known, the microscopic universe is governed by particles interacting with each other through the exchange of gauge bosons. At the largest length scales, our universe is ruled by gravity, whose gauge structure suggests the existence of a particle -the graviton-that mediates the gravitational force. At the mesoscopic scale, solid-state systems are subjected to gauge fields of different nature: materials can be immersed in external electromagnetic fields, but they can also feature emerging gauge fields in their low-energy description. In this review, we focus on another kind of gauge field: those engineered in systems of ultracold neutral atoms. In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials in their description. Neutral atoms "feeling" laser-induced gauge potentials can potentially mimic the behavior of an electron gas subjected to a magnetic field, but also, the interaction of elementary particles with non-Abelian gauge fields. Here, we review different realized and proposed techniques for creating gauge potentials -both Abelian and non-Abelian -in atomic systems and discuss their implication in the context of quantum simulation. While most of these setups concern the realization of background and classical gauge potentials, we conclude with more exotic proposals where these synthetic fields might be made dynamical, in view of simulating interacting gauge theories with cold atoms.arXiv:1308.6533v3 [cond-mat.quant-gas]

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“…Next, the paper by Maldonado-Mundo et al [2] studies ultracold Fermi gases with artificial Rashba spin-orbit coupling in a 2D gas. Anderson and Charles [3], in contrast, discuss a three-dimensional spin-orbit coupling in a trap.…”

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confidence: 99%

Non-Abelian gauge fields

Gerbier

Goldman

Lewenstein

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

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Building a universal quantum computer is a central goal of emerging quantum technologies, which has the potential to revolutionize science and technology. Unfortunately, this future does not seem to be very close at hand. However, quantum computers built for a special purpose, i.e. quantum simulators , are currently developed in many leading laboratories. Many schemes for quantum simulation have been proposed and realized using, e.g., ultracold atoms in optical lattices, ultracold trapped ions, atoms in arrays of cavities, atoms/ions in arrays of traps, quantum dots, photonic networks, or superconducting circuits. The progress in experimental implementations is more than spectacular.Particularly interesting are those systems that simulate quantum matter evolving in the presence of gauge fields.In the quantum simulation framework, the generated (synthetic) gauge fields may be Abelian, in which case they are the direct analogues of the vector potentials commonly associated with magnetic fields. In condensed matter physics, strong magnetic fields lead to a plethora of fascinating phenomena, among which the most paradigmatic is perhaps the quantum Hall effect. The standard Hall effect consists in the appearance of a transverse current, when a longitudinal voltage difference is applied to a conducting sample. For quasi-two-dimensional semiconductors at low temperatures placed in very strong magnetic fields, the transverse conductivity, the ratio between the transverse current and the applied voltage, exhibits perfect and robust quantization, independent for instance of the material or of its geometry. Such an integer quantum Hall effect, is now understood as a deep consequence of underlying topological order. Although such a system is an insulator in the bulk, it supports topologically robust edge excitations which carry the Hall current. The robustness of these chiral excitations against backscattering explains the universality of the quantum Hall effect. Another interesting and related effect, which arises from the interplay between strong magnetic field and lattice potentials, is the famous Hofstadter butterfly: the energy spectrum of a single particle moving on a lattice and subjected to a strong magnetic field displays a beautiful fractal structure as a function of the magnetic flux penetrating each elementary plaquette of the lattice.When the effects of interparticle interactions become dominant, two-dimensional gases of electrons exhibit even more exotic behaviour leading to the fractional quantum Hall effect. In certain conditions such a strongly interacting electron gas may form a highly correlated state of matter, the prototypical example being the celebrated Laughlin quantum liquid. Even more fascinating is the behaviour of bulk excitations (quasi-hole and quasi-particles): they are neither fermionic nor bosonic, but rather behave as anyons with fractional statistics intermediate between the two. Moreover, for some specific filling factors (ratio between the electronic density and the flux density), these an...

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Single-branch theory of ultracold Fermi gases with artificial Rashba spin–orbit coupling

Cited by 4 publications

References 31 publications

Non-Galilean response of Rashba-coupled Fermi gases

Non-Galilean response of Rashba-coupled Fermi gases

Light-induced gauge fields for ultracold atoms

Non-Abelian gauge fields

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