A quantum-gas-microscope experiment shows that the subsystem Loschmidt echo, a local return probability, detects dynamical quantum phase transitions and quantitatively maps the accessible Hilbert-space dimension in ergodic and fragmented regimes of a Bose-Hubbard chain.
The Loschmidt echo coincides with the return probability when |ψ0⟩ is an eigenstate of ˆH1, and thus the return probability and the Loschmidt echo are often used as synonyms
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Probing quantum many-body dynamics using subsystem Loschmidt echos
A quantum-gas-microscope experiment shows that the subsystem Loschmidt echo, a local return probability, detects dynamical quantum phase transitions and quantitatively maps the accessible Hilbert-space dimension in ergodic and fragmented regimes of a Bose-Hubbard chain.