Stabilizing lattice gauge theories through simplified local pseudogenerators
The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance to be enforced for faithful quantum simulation of gauge-theo...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-08-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033120 |
| _version_ | 1797210645351890944 |
|---|---|
| author | Jad C. Halimeh Lukas Homeier Christian Schweizer Monika Aidelsburger Philipp Hauke Fabian Grusdt |
| author_facet | Jad C. Halimeh Lukas Homeier Christian Schweizer Monika Aidelsburger Philipp Hauke Fabian Grusdt |
| author_sort | Jad C. Halimeh |
| collection | DOAJ |
| description | The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance to be enforced for faithful quantum simulation of gauge-theory physics. This poses major experimental challenges, in large part due to the complexity of the gauge-symmetry generators. Here, we show that gauge invariance can be reliably stabilized by employing simplified local pseudogenerators designed such that within the physical sector they act identically to the actual local generator. Dynamically, they give rise to emergent exact gauge theories up to time scales polynomial and even exponential in the protection strength. This obviates the need for implementing often complex multibody full gauge symmetries, thereby further reducing experimental overhead in physical realizations. We showcase our method in the Z_{2} lattice gauge theory, and discuss experimental considerations for its realization in modern ultracold-atom setups. |
| first_indexed | 2024-04-24T10:13:53Z |
| format | Article |
| id | doaj.art-5e0564dbc7564ed4b17665d8a20e2020 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:13:53Z |
| publishDate | 2022-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5e0564dbc7564ed4b17665d8a20e20202024-04-12T17:23:38ZengAmerican Physical SocietyPhysical Review Research2643-15642022-08-014303312010.1103/PhysRevResearch.4.033120Stabilizing lattice gauge theories through simplified local pseudogeneratorsJad C. HalimehLukas HomeierChristian SchweizerMonika AidelsburgerPhilipp HaukeFabian GrusdtThe postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance to be enforced for faithful quantum simulation of gauge-theory physics. This poses major experimental challenges, in large part due to the complexity of the gauge-symmetry generators. Here, we show that gauge invariance can be reliably stabilized by employing simplified local pseudogenerators designed such that within the physical sector they act identically to the actual local generator. Dynamically, they give rise to emergent exact gauge theories up to time scales polynomial and even exponential in the protection strength. This obviates the need for implementing often complex multibody full gauge symmetries, thereby further reducing experimental overhead in physical realizations. We showcase our method in the Z_{2} lattice gauge theory, and discuss experimental considerations for its realization in modern ultracold-atom setups.http://doi.org/10.1103/PhysRevResearch.4.033120 |
| spellingShingle | Jad C. Halimeh Lukas Homeier Christian Schweizer Monika Aidelsburger Philipp Hauke Fabian Grusdt Stabilizing lattice gauge theories through simplified local pseudogenerators Physical Review Research |
| title | Stabilizing lattice gauge theories through simplified local pseudogenerators |
| title_full | Stabilizing lattice gauge theories through simplified local pseudogenerators |
| title_fullStr | Stabilizing lattice gauge theories through simplified local pseudogenerators |
| title_full_unstemmed | Stabilizing lattice gauge theories through simplified local pseudogenerators |
| title_short | Stabilizing lattice gauge theories through simplified local pseudogenerators |
| title_sort | stabilizing lattice gauge theories through simplified local pseudogenerators |
| url | http://doi.org/10.1103/PhysRevResearch.4.033120 |
| work_keys_str_mv | AT jadchalimeh stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators AT lukashomeier stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators AT christianschweizer stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators AT monikaaidelsburger stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators AT philipphauke stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators AT fabiangrusdt stabilizinglatticegaugetheoriesthroughsimplifiedlocalpseudogenerators |