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Confinement and lattice QED electric flux-tubes simulated with ultracold atoms

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arxiv 1108.1562 v2 pith:N6M5WACB submitted 2011-08-07 quant-ph cond-mat.quant-gashep-th

classification quant-phcond-mat.quant-gashep-th
keywords electriclocalatomsconfinementfieldfluctuationsflux-tubeslattice
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We propose a method for simulating 2+1-d compact lattice quantum-electrodynamics (QED), using ultracold atoms in optical lattices. In our model local Bose-Einstein condensates' phases correspond to the electromagnetic vector-potential, and the fluctuations of the local number operators represent the conjugate electric field. The gauge invariant Kogut-Susskind Hamiltonian is obtained as an effective low energy theory. The field is then coupled to external static charges. We show that in the strong coupling limit this gives rise to 'electric flux-tubes' and to confinement. The effect can be observed by measuring the local density fluctuations of the BECs.

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Cited by 3 Pith papers

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  1. Universal framework with exponential speedup for the quantum simulation of quantum field theories including QCD

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    Fermion extensions of the orbifold-lattice simulation framework achieve O(L^d) gates per Trotter step for QCD-like theories without oracles.

  2. Arbitrary-Distance Quantum Error Correction with Gauss's Law for $\mathbb Z_2$ Lattice Gauge Theory

    hep-lat 2026-07 accept novelty 6.0 of 10

    Gauss's law constraints in Z2 lattice gauge theory can be made into quantum error-correcting codes of arbitrary distance, with provably optimal encoding rate within the constructed family.

  3. Towards analog quantum simulations of lattice gauge theories with trapped ions

    quant-ph 2019-08 conditional novelty 6.0 of 10

    A detailed trapped-ion protocol for analog quantum simulation of the Schwinger model and two other lattice gauge theories, with an optimization scheme to engineer the required spin-spin Hamiltonian.

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