Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.
M¨ uller-Hermes, J
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abstract
We analyze the recently developed folding algorithm [Phys. Rev. Lett. 102, 240603 (2009)] to simulate the dynamics of infinite quantum spin chains, and relate its performance to the kind of entanglement produced under the evolution of product states. We benchmark the accomplishments of this technique with respect to alternative strategies using Ising Hamiltonians with transverse and parallel fields, as well as XY models. Additionally, we evaluate its ability to find ground and thermal equilibrium states.
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Generic ergodic Hamiltonian dynamics in quantum Ising chains exhibits a long mesoscopic regime in temporal entanglement that deviates from random-circuit universality, suggesting slow spectral reorganization of the influence functional.
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Extracting conformal data from Loschmidt echoes after critical quenches
Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.
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Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems
Generic ergodic Hamiltonian dynamics in quantum Ising chains exhibits a long mesoscopic regime in temporal entanglement that deviates from random-circuit universality, suggesting slow spectral reorganization of the influence functional.