Absorbing State Phase Transition with Clifford Circuits

Abstract

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits undergoing a contact process that involves both coherent and classical dynamics. We adopt a discrete-time quantum model with states that can be described in the stabilizer formalism, and therefore allows for an efficient simulation of large system sizes. The extracted critical exponents indicate that the absorbing state phase transition of this Clifford circuit model belongs to the directed percolation universality class. This suggests that the inclusion of quantum fluctuations does not necessarily alter the critical behavior of non-equilibrium phase transitions of purely classical systems. Finally, we extend our analysis to a non-Clifford circuit model, where a tentative scaling analysis in small systems reveals critical exponents that are also consistent with the directed percolation universality class.

12 pages, 13 figures

References in corpus (6)

• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Controlling entanglement at absorbing state phase transitions in random circuits
• Universality in Bacterial Colonies
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Triviality of quantum trajectories close to a directed percolation transition

Cited by in corpus (2)

• Entanglement and absorbing state transitions in $(d+1)$-dimensional stabilizer circuits
• Absorbing state phase transitions beyond directed percolation in dissipative quantum state preparation