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Thermalization dynamics of a gauge theory on a quantum simulator
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Gauge theories form the foundation of modern physics, with applications ranging from elementary particle physics and early-universe cosmology to condensed matter systems. We perform quantum simulations of the unitary dynamics of a U(1) symmetric gauge field theory and demonstrate emergent irreversible behavior. The highly constrained gauge theory dynamics is encoded in a one-dimensional Bose--Hubbard simulator, which couples fermionic matter fields through dynamical gauge fields. We investigate global quantum quenches and the equilibration to a steady state well approximated by a thermal ensemble. Our work may enable the investigation of elusive phenomena, such as Schwinger pair production and string-breaking, and paves the way for simulating more complex higher-dimensional gauge theories on quantum synthetic matter devices.
Forward citations
Cited by 7 Pith papers
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.
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Quantum simulation of scattering amplitudes and interferences in perturbative QCD
A quantum circuit encodes QCD colour factors and diagram interferences in a measurement probability, with permuted identical-particle diagrams generated by swap sorting networks.
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Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors
A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.
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Quantum computing of chirality imbalance in SU(2) gauge theory
A variational quantum algorithm with Monte Carlo sampling reproduces the exact thermal chiral condensate in 1+1D SU(2) gauge theory on 8 to 12 qubits and on IBM hardware.
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Quantum Simulation of Large N Lattice Gauge Theories
At leading order in 1/N_c, SU(3) lattice Yang-Mills reduces to a PXP spin model with one qubit per plaquette, enabling simpler quantum simulation encodings.
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