Boundary transfer matrix spectrum of measurement-induced transitions

• URL: http://arxiv.org/abs/2310.03078v2
• Date: Fri, 5 Jan 2024 14:18:04 GMT
• Title: Boundary transfer matrix spectrum of measurement-induced transitions
• Authors: Abhishek Kumar, Kemal Aziz, Ahana Chakraborty, Andreas W. W. Ludwig, Sarang Gopalakrishnan, J.H. Pixley, Romain Vasseur
• Abstract summary: We introduce a transfer matrix approach to study the boundary spectrum of non-unitary conformal field theories. We apply this approach to numerically monitored Haar and Clifford circuits, and to the measurement-only Ising model.
• Score: 4.29658743722439
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Measurement-induced phase transitions (MIPTs) are known to be described by non-unitary conformal field theories (CFTs) whose precise nature remains unknown. Most physical quantities of interest, such as the entanglement features of quantum trajectories, are described by boundary observables in this CFT. We introduce a transfer matrix approach to study the boundary spectrum of this field theory, and consider a variety of boundary conditions. We apply this approach numerically to monitored Haar and Clifford circuits, and to the measurement-only Ising model where the boundary scaling dimensions can be derived analytically. Our transfer matrix approach provides a systematic numerical tool to study the spectrum of MIPTs.

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