On the generality of symmetry breaking and dissipative freezing in quantum trajectories
Recently, several studies involving open quantum systems which possess a strong symmetry have observed that every individual trajectory in the Monte Carlo unravelling of the master equation will dynamically select a specific symmetry sector to 'freeze' into in the long-time limit. This phe...
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| Format: | Article |
| Language: | English |
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SciPost
2023-01-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.1.004 |
| _version_ | 1797943316513292288 |
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| author | Joseph Tindall, Dieter Jaksch, Carlos Sánchez Muñoz |
| author_facet | Joseph Tindall, Dieter Jaksch, Carlos Sánchez Muñoz |
| author_sort | Joseph Tindall, Dieter Jaksch, Carlos Sánchez Muñoz |
| collection | DOAJ |
| description | Recently, several studies involving open quantum systems which possess a strong symmetry have observed that every individual trajectory in the Monte Carlo unravelling of the master equation will dynamically select a specific symmetry sector to 'freeze' into in the long-time limit. This phenomenon has been termed 'dissipative freezing', and in this paper we argue, by presenting several simple mathematical perspectives on the problem, that it is a general consequence of the presence of a strong symmetry in an open system with only a few exceptions. Using a number of example systems we illustrate these arguments, uncovering an explicit relationship between the spectral properties of the Liouvillian in off-diagonal symmetry sectors and the time it takes for freezing to occur. In the limiting case that eigenmodes with purely imaginary eigenvalues are manifest in these sectors, freezing fails to occur. Such modes indicate the preservation of information and coherences between symmetry sectors of the system and can lead to phenomena such as non-stationarity and synchronisation. The absence of freezing at the level of a single quantum trajectory provides a simple, computationally efficient way of identifying these traceless modes. |
| first_indexed | 2024-04-10T20:22:16Z |
| format | Article |
| id | doaj.art-9ec8ed427ff14bfd8d6d1b95b5d14171 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-10T20:22:16Z |
| publishDate | 2023-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-9ec8ed427ff14bfd8d6d1b95b5d141712023-01-25T16:26:32ZengSciPostSciPost Physics Core2666-93662023-01-016100410.21468/SciPostPhysCore.6.1.004On the generality of symmetry breaking and dissipative freezing in quantum trajectoriesJoseph Tindall, Dieter Jaksch, Carlos Sánchez MuñozRecently, several studies involving open quantum systems which possess a strong symmetry have observed that every individual trajectory in the Monte Carlo unravelling of the master equation will dynamically select a specific symmetry sector to 'freeze' into in the long-time limit. This phenomenon has been termed 'dissipative freezing', and in this paper we argue, by presenting several simple mathematical perspectives on the problem, that it is a general consequence of the presence of a strong symmetry in an open system with only a few exceptions. Using a number of example systems we illustrate these arguments, uncovering an explicit relationship between the spectral properties of the Liouvillian in off-diagonal symmetry sectors and the time it takes for freezing to occur. In the limiting case that eigenmodes with purely imaginary eigenvalues are manifest in these sectors, freezing fails to occur. Such modes indicate the preservation of information and coherences between symmetry sectors of the system and can lead to phenomena such as non-stationarity and synchronisation. The absence of freezing at the level of a single quantum trajectory provides a simple, computationally efficient way of identifying these traceless modes.https://scipost.org/SciPostPhysCore.6.1.004 |
| spellingShingle | Joseph Tindall, Dieter Jaksch, Carlos Sánchez Muñoz On the generality of symmetry breaking and dissipative freezing in quantum trajectories SciPost Physics Core |
| title | On the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| title_full | On the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| title_fullStr | On the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| title_full_unstemmed | On the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| title_short | On the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| title_sort | on the generality of symmetry breaking and dissipative freezing in quantum trajectories |
| url | https://scipost.org/SciPostPhysCore.6.1.004 |
| work_keys_str_mv | AT josephtindalldieterjakschcarlossanchezmunoz onthegeneralityofsymmetrybreakinganddissipativefreezinginquantumtrajectories |