Renormalization group for measurement and entanglement phase transitions
Résumé
We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously proposed on grounds of replica symmetry, are derived in a controlled regime for an illustrative family of tensor networks. They have different forms in the two cases, and involve distinct replica limits. The perturbative RG is controlled by working close to a critical dimensionality, ${d_c=6}$ for measurements and ${d_c=10}$ for random tensors, where interactions become marginal. The resulting RG flows are surprising in several ways. They indicate that in high dimensions $d>d_c$ there are at least two (stable) universality classes for each kind of transition, separated by a nontrivial tricritical point. In each case one of the two stable fixed points is Gaussian, while the other is nonperturbative. In lower dimensions, $d
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https://hal.science/hal-04049418
Soumis le : mardi 28 mars 2023-16:45:12
Dernière modification le : vendredi 19 avril 2024-16:19:00
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Identifiants
- HAL Id : hal-04049418 , version 1
- ARXIV : 2303.07848
- DOI : 10.1103/PhysRevB.108.104203
- INSPIRE : 2642135
Citer
Adam Nahum, Kay Joerg Wiese. Renormalization group for measurement and entanglement phase transitions. Physical Review B, 2023, 108 (10), pp.104203. ⟨10.1103/PhysRevB.108.104203⟩. ⟨hal-04049418⟩
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