Optical-lattice Hamiltonians for relativistic quantum electrodynamics

Kapit, Eliot; Mueller, Erich J.

doi:10.1103/physreva.83.033625

Cited by 77 publications

(90 citation statements)

References 63 publications

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“…to engineer relativistic fermions at the corresponding Dirac cones [64]. In their construction, three bosonic species represent the components of the non-compact vector potential A μ (x) of the (2 + 1)-d continuum theory.…”

Section: Analog Quantum Simulators For U (1) Gauge Theoriesmentioning

confidence: 99%

“…Similarly, due to a severe sign problem, the deep interior of neutron stars, which may contain color superconducting quark matter [60,61] can currently not be addressed nonperturbatively from QCD first principles either. While it is difficult to predict when full QCD quantum simulations with cold atoms might become experimentally feasible, it is timely to work towards this long-term goal [62][63][64][65][66][67][68][69][70][71][72][73][74][75].…”

Section: Introductionmentioning

confidence: 99%

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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: Analog Quantum Simulators For U (1) Gauge Theoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2013

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“…One can also imagine that a gauge theory quantum simulator can mimic qualitative features of heavy-ion collisions. Since we have no other way of reliably investigating QCD's real-time dynamics from first principles, the construction of quantum simulators for Abelian and non-Abelian gauge theories, with or without fermionic matter, is timely and most promising [33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48]. Once such systems are realized in the laboratory, they will also become interesting objects of study in their own right.…”

Section: Introductionmentioning

confidence: 99%

Towards quantum simulating QCD

Wiese

2014

Nuclear Physics A

106

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Quantum link models provide an alternative non-perturbative formulation of Abelian and non-Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example, using ultracold atoms in an optical lattice. This holds the promise to address currently unsolvable problems, such as the real-time and high-density dynamics of strongly interacting matter, first in toy-model gauge theories, and ultimately in QCD.

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“…Schemes have been recently proposed for multicomponent lattice gases, such that the low-energy description of these systems is that of relevant quantum field theories [22][23][24][25][26][27][28][29][30][31]. The backaction of the atoms on the value of a synthetic gauge field is expected to lead to interesting physics, including statistically induced phase transitions and anyons in 1D lattices [32], and chiral solitons in Bose-Einstein condensates [33].…”

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confidence: 99%

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

et al. 2014

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We show that density-dependent synthetic gauge fields may be engineered by combining periodically modulated interactions and Raman-assisted hopping in spin-dependent optical lattices. These fields lead to a density-dependent shift of the momentum distribution, may induce superfluid-to-Mott insulator transitions, and strongly modify correlations in the superfluid regime. We show that the interplay between the created gauge field and the broken sublattice symmetry results, as well, in an intriguing behavior at vanishing interactions, characterized by the appearance of a fractional Mott insulator. DOI: 10.1103/PhysRevLett.113.215303 PACS numbers: 67.85.-d, 03.65.Vf, 03.75.Lm, 37.10.Jk The emulation of synthetic electromagnetism in cold neutral gases has attracted major interest [1,2]. Artificial electric and magnetic fields have been induced using lasers [3][4][5]. Moreover, these setups may be extended to generate non-Abelian fields, and in particular, spin-orbit coupling [6][7][8][9][10][11][12][13]. Synthetic fields may be generated as well in optical lattices, and recent experiments have created artificial staggered [14][15][16] and uniform [17,18] magnetic fields. These fields are, however, static, as they are not influenced by the atoms.The dynamical feedback between matter and gauge fields plays an important role in various areas of physics, ranging from condensed matter [19] to quantum chromodynamics [20], and its realization in cold lattice gases is attracting growing attention [21]. Schemes have been recently proposed for multicomponent lattice gases, such that the low-energy description of these systems is that of relevant quantum field theories [22][23][24][25][26][27][28][29][30][31]. The backaction of the atoms on the value of a synthetic gauge field is expected to lead to interesting physics, including statistically induced phase transitions and anyons in 1D lattices [32], and chiral solitons in Bose-Einstein condensates [33].Periodically modulated optical lattices open interesting possibilities for the engineering of lattice gases [16][17][18][34][35][36][37][38][39][40]. In particular, periodic lattice shaking results in a modified hopping rate [34][35][36], which has been employed to drive the superfluid (SF) to Mott insulator (MI) transition [37], to simulate frustrated classical magnetism [38], and to create tunable gauge potentials [16]. Interestingly, a periodically modulated magnetic field may be employed in the vicinity of a Feshbach resonance to induce periodically modulated interactions, which result in a nonlinear hopping rate that depends on the occupation differences at neighboring sites [41][42][43].In this Letter, we show that combining periodic interactions and Raman-assisted hopping may induce a densitydependent gauge field in 1D lattices. The created field results in a density-dependent shift of the momentum distribution that may be probed in time-of-flight (TOF) experiments. Moreover, contrary to the Peierls phase induced in shaken lattices [16], the created field cannot be ga...

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Optical-lattice Hamiltonians for relativistic quantum electrodynamics

Cited by 77 publications

References 63 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

Towards quantum simulating QCD

Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions

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