Arresting Quantum Chaos Dynamically in Transmon Arrays
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913735161937920 |
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| author | Mukherjee, Rohit Guo, Haoyu Lewellen, Keiran Chowdhury, Debanjan |
| author_facet | Mukherjee, Rohit Guo, Haoyu Lewellen, Keiran Chowdhury, Debanjan |
| contents | Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting bosons -- a Josephson junction array in the transmon regime -- in the presence of a strong Floquet drive. Generically, such a time-dependent drive is expected to heat the system to an effectively infinite temperature, featureless state in the late-time limit. However, using numerical exact-diagonalization we find evidence of special ratios of the drive amplitude and frequency where the system develops {\it emergent} conservation laws, and {\it approximate} integrability. Remarkably, at these same set of points, the Lyapunov exponent associated with the semi-classical dynamics for the coupled many-body equations of motion drops by orders of magnitude, arresting the growth of chaos. We supplement our numerical results with an analytical Floquet-Magnus expansion that includes higher-order corrections, and capture the slow dynamics that controls decay away from exact freezing. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_14935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arresting Quantum Chaos Dynamically in Transmon Arrays Mukherjee, Rohit Guo, Haoyu Lewellen, Keiran Chowdhury, Debanjan Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting bosons -- a Josephson junction array in the transmon regime -- in the presence of a strong Floquet drive. Generically, such a time-dependent drive is expected to heat the system to an effectively infinite temperature, featureless state in the late-time limit. However, using numerical exact-diagonalization we find evidence of special ratios of the drive amplitude and frequency where the system develops {\it emergent} conservation laws, and {\it approximate} integrability. Remarkably, at these same set of points, the Lyapunov exponent associated with the semi-classical dynamics for the coupled many-body equations of motion drops by orders of magnitude, arresting the growth of chaos. We supplement our numerical results with an analytical Floquet-Magnus expansion that includes higher-order corrections, and capture the slow dynamics that controls decay away from exact freezing. |
| title | Arresting Quantum Chaos Dynamically in Transmon Arrays |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.14935 |