A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
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Operator Loschmidt echoes in noisy unitary dynamics are equivalent to the norm of dissipative dynamics after noise averaging, exhibiting Gaussian decay for pt ≪ 1 and noise-independent exponential decay for pt ≫ 1, with exact results proven in the dissipative random phase model.
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Circular Rosenzweig-Porter random matrix ensemble
A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
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Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
Operator Loschmidt echoes in noisy unitary dynamics are equivalent to the norm of dissipative dynamics after noise averaging, exhibiting Gaussian decay for pt ≪ 1 and noise-independent exponential decay for pt ≫ 1, with exact results proven in the dissipative random phase model.