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Matrix product representation of gauge invariant states in a Z₂ lattice gauge theory
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Matrix product representation of gauge invariant states in a Z₂ lattice gauge theory
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The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. In this work, we propose an efficient variational method based on the matrix product ansatz for a Z_2 lattice gauge theory on a spatial ladder chain. Gauge invariant low-lying states are identified by evaluating expectation values of the Gauss law operator after numerical diagonalization of the gauge hamiltonian.
Forward citations
Cited by 2 Pith papers
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution
Deterministic QITE made gauge-invariant via commuting Pauli operators achieves relative error below 0.1 percent for ground-state preparation in 2+1D Z2 LGT on systems up to twelve plaquettes, as shown by tensor-networ...
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution
Deterministic QITE with a Gauss-law-reduced Pauli pool reproduces DMRG ground-state energies of (2+1)-D pure Z2 lattice gauge theory to within 0.1% for ladders of up to 32 qubits and coupling λ ∈ [0.5, 5].
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