Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer
The study of topologically ordered states has given rise to a growing interest in symmetry-protected states in quantum matter. Recently, this theory has been extended to quantum many-body systems, which demonstrate ordered states at low temperatures. An example of this is the discrete time crystal (...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/13/8/1188 |
| _version_ | 1797585082147405824 |
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| author | Christopher Sims |
| author_facet | Christopher Sims |
| author_sort | Christopher Sims |
| collection | DOAJ |
| description | The study of topologically ordered states has given rise to a growing interest in symmetry-protected states in quantum matter. Recently, this theory has been extended to quantum many-body systems, which demonstrate ordered states at low temperatures. An example of this is the discrete time crystal (DTC), which has been demonstrated in a real quantum computer and in driven systems. These states are periodic in time and are protected from disorder to a certain extent. In general, DTCs can be classified into two phases: the stable many-body localization (MBL) state and the disordered thermal state. This work demonstrates the by generalizing DTCs to two dimensions, where there was an decrease in the thermal noise and an increase in the operating range of the MBL range in the presence of disorder. |
| first_indexed | 2024-03-11T00:01:49Z |
| format | Article |
| id | doaj.art-f29ab8ba493c41edab0ae0d06e905e46 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-11T00:01:49Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-f29ab8ba493c41edab0ae0d06e905e462023-11-19T00:44:35ZengMDPI AGCrystals2073-43522023-07-01138118810.3390/cryst13081188Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum ComputerChristopher Sims0Elmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USAThe study of topologically ordered states has given rise to a growing interest in symmetry-protected states in quantum matter. Recently, this theory has been extended to quantum many-body systems, which demonstrate ordered states at low temperatures. An example of this is the discrete time crystal (DTC), which has been demonstrated in a real quantum computer and in driven systems. These states are periodic in time and are protected from disorder to a certain extent. In general, DTCs can be classified into two phases: the stable many-body localization (MBL) state and the disordered thermal state. This work demonstrates the by generalizing DTCs to two dimensions, where there was an decrease in the thermal noise and an increase in the operating range of the MBL range in the presence of disorder.https://www.mdpi.com/2073-4352/13/8/1188quantum computingtime crystalsmany-body localization |
| spellingShingle | Christopher Sims Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer Crystals quantum computing time crystals many-body localization |
| title | Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer |
| title_full | Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer |
| title_fullStr | Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer |
| title_full_unstemmed | Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer |
| title_short | Simulation of Higher-Dimensional Discrete Time Crystals on a Quantum Computer |
| title_sort | simulation of higher dimensional discrete time crystals on a quantum computer |
| topic | quantum computing time crystals many-body localization |
| url | https://www.mdpi.com/2073-4352/13/8/1188 |
| work_keys_str_mv | AT christophersims simulationofhigherdimensionaldiscretetimecrystalsonaquantumcomputer |