The arrow of time exhibits nonanalytic behavior at the critical point of measurement-induced phase transitions, with an identified critical exponent, in an exactly solved model of random quantum circuits with non-projective measurements.
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Deforming the Kitaev chain ground state with imaginary-time evolution under 1/r^α couplings produces α-dependent infrared regimes without sharp phase transitions at non-zero deformation.
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Arrow of Time as an indicator of Measurement-Induced Phase Transitions
The arrow of time exhibits nonanalytic behavior at the critical point of measurement-induced phase transitions, with an identified critical exponent, in an exactly solved model of random quantum circuits with non-projective measurements.
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Long-range deformations in Gaussian States
Deforming the Kitaev chain ground state with imaginary-time evolution under 1/r^α couplings produces α-dependent infrared regimes without sharp phase transitions at non-zero deformation.