Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices

Duan, L.-M.; Demler, Eugene; Lukin, Mikhail D.

doi:10.1103/physrevlett.91.090402

Cited by 1,174 publications

(1,339 citation statements)

References 19 publications

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“…Since it utilizes the superposition of quantum phases in its hardware, a quantum simulator does not suffer from the notorious sign problem. From a condensed matter perspective, this is extremely interesting because highly non-trivial many-body systems, such as geometrically frustrated quantum antiferromagnets [30], various spin liquids, or high-temperature superconductors [31] can perhaps be quantum simulated, despite the fact that the sign problem prevents numerical simulations on classical computers. It was a significant breakthrough, when a non-trivial quantum phase transition separating a Mott insulator (with localized particles) from a superfluid, was first quantum simulated by implementing the BoseHubbard model with cold atoms in an optical lattice [32].…”

Section: Introductionmentioning

confidence: 99%

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

2013

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Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum spin liquids. In quantum information theory, Kitaev's toric code is a Z(2) lattice gauge theory. In particle physics, Quantum Chromodynamics (QCD), the non-Abelian SU(3) gauge theory of the strong interactions between quarks and gluons, is nonperturbatively regularized on a lattice. Quantum link models extend the concept of lattice gauge theories beyond the Wilson formulation, and are well suited for both digital and analog quantum simulation using ultracold atomic gases in optical lattices. Since quantum simulators do not suffer from the notorious sign problem, they open the door to studies of the real-time evolution of strongly coupled quantum systems, which are impossible with classical simulation methods. A plethora of interesting lattice gauge theories suggests itself for quantum simulation, which should allow us to address very challenging problems, ranging from confinement and deconfinement, or chiral symmetry breaking and its restoration at finite baryon density, to color superconductivity and the real-time evolution of heavy-ion collisions, first in simpler model gauge theories and ultimately in QCD.

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Section: Introductionmentioning

confidence: 99%

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

2013

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“…A possible way to realize Kitaev model on optical lattice has been proposed [3]. Recently, studies for the Kitaev-Heisenberg (KH) model showed that this peculiar quantum SL is possible to be realized in iridates A 2 IrO 3 (A=Na, Li) because of a strong intrinsic spin-orbital (SO) coupling of the 5d electron of iridium ions [4,5] .…”

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confidence: 99%

Tuning into the Kitaev spin liquid phase: A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings

Liang

Niu

et al. 2013

Phys. Rev. B

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“…In this respect it is important to emphasize again that our approach represents the fermonic degrees of freedom within individual vortex sectors. This is fundamentally different from approaches to Kitaev model construction using ultracold atoms [69][70][71] or superconducting electronics [72]. In these realizations, one seeks to engineer the actual spin-spin interactions of the Kitaev systems explicitly.…”

Section: Discussionmentioning

confidence: 99%

Kitaev spin models from topological nanowire networks

2014

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We show that networks of superconducting topological nanowires can realize the physics of exactly solvable Kitaev spin models on trivalent lattices. This connection arises from the low-energy theory of both systems being described by a tight-binding model of Majorana modes. In Kitaev spin models the Majorana description provides a convenient representation to solve the model, whereas in an array of Josephson junctions of topological nanowires it arises from localized physical Majorana modes tunneling between the wire ends. We explicitly show that an array of junctions of three wires-a setup relevant to topological quantum computing with nanowires-can realize the Yao-Kivelson model, a variant of Kitaev spin models on a decorated honeycomb lattice. Employing properties of the latter, we show that the network can be constructed to give rise to two-dimensional collective topological states characterized by Chern numbers ν = 0, ±1, and ±2, and that defects in the array can be associated with vortex-like quasiparticle excitations. In addition we show that the collective states are stable in the presence of disorder and superconducting phase fluctuations. When the network is operated as a quantum information processor, the connection to Kitaev spin models implies that decoherence mechanisms can in general be understood in terms of proliferation of the vortex-like quasiparticles.

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Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices

Cited by 1,174 publications

References 19 publications

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

Tuning into the Kitaev spin liquid phase: A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings

Kitaev spin models from topological nanowire networks

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