SciPost Submission Page
Universal Statistics of Measurement-Induced Entanglement in Tomonaga-Luttinger liquids
by Kabir Khanna, Romain Vasseur
Submission summary
| Authors (as registered SciPost users): | Kabir Khanna |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2512.13809v1 (pdf) |
| Date submitted: | Jan. 21, 2026, 8:43 a.m. |
| Submitted by: | Kabir Khanna |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
A generative AI tool was used in the final stages of manuscript preparation to polish portions of the writing.
Abstract
We study the statistics of measurement-induced entanglement (MIE) after partial measurement on a class of one-dimensional quantum critical states described by Tomonaga-Luttinger liquids at low energies. Using a replica trick to average over measurement outcomes in the charge basis and tools from conformal field theory (CFT), we derive closed-form expressions for the cumulants of MIE. We show that exact Born-averaging over microscopic measurement outcomes becomes equivalent at low energy to averaging over conformal boundary conditions weighted by their corresponding partition functions. Our results yield distinctive critical behavior across all cumulants in the regime where the unmeasured parts of the system are maximally separated. We also obtain the full distribution of the post-measurement entanglement entropy, finding that it is generically bimodal and exhibits fat-tails. We corroborate our analytical predictions by numerical calculations and find good agreement between them.
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