Boundary transfer matrix spectrum of measurement-induced transitions
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916081219665920 |
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| author | Kumar, Abhishek Aziz, Kemal Chakraborty, Ahana Ludwig, Andreas W. W. Gopalakrishnan, Sarang Pixley, J. H. Vasseur, Romain |
| author_facet | Kumar, Abhishek Aziz, Kemal Chakraborty, Ahana Ludwig, Andreas W. W. Gopalakrishnan, Sarang Pixley, J. H. Vasseur, Romain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03078 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary transfer matrix spectrum of measurement-induced transitions Kumar, Abhishek Aziz, Kemal Chakraborty, Ahana Ludwig, Andreas W. W. Gopalakrishnan, Sarang Pixley, J. H. Vasseur, Romain Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics 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. |
| title | Boundary transfer matrix spectrum of measurement-induced transitions |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2310.03078 |