Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914641098047488 |
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| author | Sharma, Harshit Bhosale, Udaysinh T. |
| author_facet | Sharma, Harshit Bhosale, Udaysinh T. |
| contents | We study $N$ qubits having infinite-range Ising interaction and subjected to periodic pulse of external magnetic field. We solve the cases of $N=5$ to $11$ qubits analytically, finding its eigensystem, the dynamics of the entanglement for various initial states, and the unitary evolution operator. These quantities shows signatures of quantum integrability. For the general case of $N>11$ qubits, we provide a conjecture on quantum integrability based on the numerical evidences like degenerate spectrum, and the exact periodic nature of the time-evolved unitary evolution operator and the entanglement dynamics. Using linear entropy we show that for class of initial unentangled state the entanglement displays periodically maximum and zero values. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_14122 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system Sharma, Harshit Bhosale, Udaysinh T. Quantum Physics Other Condensed Matter Chaotic Dynamics Exactly Solvable and Integrable Systems We study $N$ qubits having infinite-range Ising interaction and subjected to periodic pulse of external magnetic field. We solve the cases of $N=5$ to $11$ qubits analytically, finding its eigensystem, the dynamics of the entanglement for various initial states, and the unitary evolution operator. These quantities shows signatures of quantum integrability. For the general case of $N>11$ qubits, we provide a conjecture on quantum integrability based on the numerical evidences like degenerate spectrum, and the exact periodic nature of the time-evolved unitary evolution operator and the entanglement dynamics. Using linear entropy we show that for class of initial unentangled state the entanglement displays periodically maximum and zero values. |
| title | Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system |
| topic | Quantum Physics Other Condensed Matter Chaotic Dynamics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2307.14122 |