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Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories

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arxiv 1211.2242 v2 pith:PJM2IKGT submitted 2012-11-09 cond-mat.quant-gas hep-lathep-thnucl-thquant-ph

Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories

D. Banerjee , M.B\"ogli , M. Dalmonte , E. Rico , P. Stebler , U.-J. Wiese , P. Zoller This is my paper
classification cond-mat.quant-gas hep-lathep-thnucl-thquant-ph
keywords quantumchiralgaugelatticesimulatortheoriesaddressalkaline-earth
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using ultracold alkaline-earth atoms in optical lattices, we construct a quantum simulator for U(N) and SU(N) lattice gauge theories with fermionic matter based on quantum link models. These systems share qualitative features with QCD, including chiral symmetry breaking and restoration at non-zero temperature or baryon density. Unlike classical simulations, a quantum simulator does not suffer from sign problems and can address the corresponding chiral dynamics in real time.

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Cited by 2 Pith papers

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    Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.

  2. Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory

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    Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plu...