Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits
Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how entanglement dynamics in nonunitary quantum circuits can be enriched...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-10-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.12.041002 |
| _version_ | 1797996818153340928 |
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| author | Utkarsh Agrawal Aidan Zabalo Kun Chen Justin H. Wilson Andrew C. Potter J. H. Pixley Sarang Gopalakrishnan Romain Vasseur |
| author_facet | Utkarsh Agrawal Aidan Zabalo Kun Chen Justin H. Wilson Andrew C. Potter J. H. Pixley Sarang Gopalakrishnan Romain Vasseur |
| author_sort | Utkarsh Agrawal |
| collection | DOAJ |
| description | Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how entanglement dynamics in nonunitary quantum circuits can be enriched in the presence of charge conservation, using a combination of exact numerics and a mapping onto a statistical mechanics model of constrained hard-core random walkers. We uncover a charge-sharpening transition that separates different scrambling phases with volume-law scaling of entanglement, distinguished by whether measurements can efficiently reveal the total charge of the system. We find that while Rényi entropies grow sub-ballistically as sqrt[t] in the absence of measurement, for even an infinitesimal rate of measurements, all average Rényi entropies grow ballistically with time ∼t. We study numerically the critical behavior of the charge-sharpening and entanglement transitions in U(1) circuits, and show that they exhibit emergent Lorentz invariance and can also be diagnosed using scalable local ancilla probes. Our statistical mechanical mapping technique readily generalizes to arbitrary Abelian groups, and offers a general framework for studying dissipatively stabilized symmetry-breaking and topological orders. |
| first_indexed | 2024-04-11T10:23:26Z |
| format | Article |
| id | doaj.art-1c9447824be6499aa9fbaf57be6aa3be |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-04-11T10:23:26Z |
| publishDate | 2022-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-1c9447824be6499aa9fbaf57be6aa3be2022-12-22T04:29:40ZengAmerican Physical SocietyPhysical Review X2160-33082022-10-0112404100210.1103/PhysRevX.12.041002Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum CircuitsUtkarsh AgrawalAidan ZabaloKun ChenJustin H. WilsonAndrew C. PotterJ. H. PixleySarang GopalakrishnanRomain VasseurMonitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how entanglement dynamics in nonunitary quantum circuits can be enriched in the presence of charge conservation, using a combination of exact numerics and a mapping onto a statistical mechanics model of constrained hard-core random walkers. We uncover a charge-sharpening transition that separates different scrambling phases with volume-law scaling of entanglement, distinguished by whether measurements can efficiently reveal the total charge of the system. We find that while Rényi entropies grow sub-ballistically as sqrt[t] in the absence of measurement, for even an infinitesimal rate of measurements, all average Rényi entropies grow ballistically with time ∼t. We study numerically the critical behavior of the charge-sharpening and entanglement transitions in U(1) circuits, and show that they exhibit emergent Lorentz invariance and can also be diagnosed using scalable local ancilla probes. Our statistical mechanical mapping technique readily generalizes to arbitrary Abelian groups, and offers a general framework for studying dissipatively stabilized symmetry-breaking and topological orders.http://doi.org/10.1103/PhysRevX.12.041002 |
| spellingShingle | Utkarsh Agrawal Aidan Zabalo Kun Chen Justin H. Wilson Andrew C. Potter J. H. Pixley Sarang Gopalakrishnan Romain Vasseur Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits Physical Review X |
| title | Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits |
| title_full | Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits |
| title_fullStr | Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits |
| title_full_unstemmed | Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits |
| title_short | Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits |
| title_sort | entanglement and charge sharpening transitions in u 1 symmetric monitored quantum circuits |
| url | http://doi.org/10.1103/PhysRevX.12.041002 |
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