Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
We study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. As a toy model, we consider the Lipkin-Meshkov-Glick model. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to me...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033145 |
| _version_ | 1797210913934147584 |
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| author | Karthik Chinni Pablo M. Poggi Ivan H. Deutsch |
| author_facet | Karthik Chinni Pablo M. Poggi Ivan H. Deutsch |
| author_sort | Karthik Chinni |
| collection | DOAJ |
| description | We study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. As a toy model, we consider the Lipkin-Meshkov-Glick model. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to measure the quantum phase transition in the ground state and the dynamical quantum phase transition associated with quench dynamics. We show that the presence of a small time-dependent perturbation can render the dynamics of the system chaotic. We then show that the estimates of the critical points of these quantum phase transitions, obtained from the quantum simulation of its dynamics, are robust to the presence of this chaotic perturbation, while other aspects of the system, such as the mean magnetization, are fragile and therefore cannot be reliably extracted from this simulator. This can be understood in terms of the simulated quantities that depend on the global structure of phase space vs those that depend on local trajectories. |
| first_indexed | 2024-04-24T10:18:09Z |
| format | Article |
| id | doaj.art-2957f99ff2f74df4a28684dab3e7c9be |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:09Z |
| publishDate | 2021-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-2957f99ff2f74df4a28684dab3e7c9be2024-04-12T17:12:49ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303314510.1103/PhysRevResearch.3.033145Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulatorsKarthik ChinniPablo M. PoggiIvan H. DeutschWe study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. As a toy model, we consider the Lipkin-Meshkov-Glick model. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to measure the quantum phase transition in the ground state and the dynamical quantum phase transition associated with quench dynamics. We show that the presence of a small time-dependent perturbation can render the dynamics of the system chaotic. We then show that the estimates of the critical points of these quantum phase transitions, obtained from the quantum simulation of its dynamics, are robust to the presence of this chaotic perturbation, while other aspects of the system, such as the mean magnetization, are fragile and therefore cannot be reliably extracted from this simulator. This can be understood in terms of the simulated quantities that depend on the global structure of phase space vs those that depend on local trajectories.http://doi.org/10.1103/PhysRevResearch.3.033145 |
| spellingShingle | Karthik Chinni Pablo M. Poggi Ivan H. Deutsch Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators Physical Review Research |
| title | Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| title_full | Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| title_fullStr | Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| title_full_unstemmed | Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| title_short | Effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| title_sort | effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators |
| url | http://doi.org/10.1103/PhysRevResearch.3.033145 |
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