Driven Non-Unitary Dynamics of Quantum Critical Systems
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| Format: | Preprint |
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2025
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| _version_ | 1866911176334508032 |
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| author | Lapierre, Bastien Pelliconi, Pietro Ryu, Shinsei Sonner, Julian |
| author_facet | Lapierre, Bastien Pelliconi, Pietro Ryu, Shinsei Sonner, Julian |
| contents | We investigate the interplay between unitary and non-unitary driven many-body dynamics in (1+1)-dimensional quantum critical systems described by conformal field theory (CFT). By formulating a coherent state approach, we demonstrate that the growth of entanglement entropy and energy can be found analytically for a class of non-unitary driven CFTs, where the evolution alternates between real and imaginary time evolution, the latter corresponding to postselected weak measurements. We find that non-unitary evolution leads to the emergence of steady states at infinite times for the cases of periodic, quasiperiodic, and random drives. In a special class of drives, for mixed initial states, we uncover purification phase transitions that arise as a result of the competition between unitary evolution and weak measurements. We compare the CFT evolution with the corresponding non-unitary dynamics of critical lattice models, finding remarkable agreement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_01508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Driven Non-Unitary Dynamics of Quantum Critical Systems Lapierre, Bastien Pelliconi, Pietro Ryu, Shinsei Sonner, Julian Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We investigate the interplay between unitary and non-unitary driven many-body dynamics in (1+1)-dimensional quantum critical systems described by conformal field theory (CFT). By formulating a coherent state approach, we demonstrate that the growth of entanglement entropy and energy can be found analytically for a class of non-unitary driven CFTs, where the evolution alternates between real and imaginary time evolution, the latter corresponding to postselected weak measurements. We find that non-unitary evolution leads to the emergence of steady states at infinite times for the cases of periodic, quasiperiodic, and random drives. In a special class of drives, for mixed initial states, we uncover purification phase transitions that arise as a result of the competition between unitary evolution and weak measurements. We compare the CFT evolution with the corresponding non-unitary dynamics of critical lattice models, finding remarkable agreement. |
| title | Driven Non-Unitary Dynamics of Quantum Critical Systems |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.01508 |