Decoherence in the Pure Dephasing Spin-Boson Model with Hermitian or Non-Hermitian Bath
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| Format: | Preprint |
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2025
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| _version_ | 1866915681700675584 |
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| author | Wu, Yue-Hong Tong, Ning-Hua |
| author_facet | Wu, Yue-Hong Tong, Ning-Hua |
| contents | In this paper, we investigate the decoherence of qubit due to its coupling to a Hermitian or a non-Hermitian bath within the pure dephasing spin-boson model. First, using this model, we analytically establish the previously anticipated similarity between the non-equilibrium and the equilibrium correlation functions $P_x(t)$ and $C_x(t)$. Then, in the short/long time asymptotic behaviors of $P_x(t)$, we find singular dependence on $A$ (coupling strength) and $s$ (bath exponent) at their integer values. Finally, we find that the non-Hermitian bath tends to suppress the decoherence of qubit for all values of $A$ and $s$, in contrast to the conclusion of Dey et al. . Our results show the potential of non-Hermitian environment engineering in suppressing the decoherence of qubit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decoherence in the Pure Dephasing Spin-Boson Model with Hermitian or Non-Hermitian Bath Wu, Yue-Hong Tong, Ning-Hua Quantum Physics Statistical Mechanics In this paper, we investigate the decoherence of qubit due to its coupling to a Hermitian or a non-Hermitian bath within the pure dephasing spin-boson model. First, using this model, we analytically establish the previously anticipated similarity between the non-equilibrium and the equilibrium correlation functions $P_x(t)$ and $C_x(t)$. Then, in the short/long time asymptotic behaviors of $P_x(t)$, we find singular dependence on $A$ (coupling strength) and $s$ (bath exponent) at their integer values. Finally, we find that the non-Hermitian bath tends to suppress the decoherence of qubit for all values of $A$ and $s$, in contrast to the conclusion of Dey et al. . Our results show the potential of non-Hermitian environment engineering in suppressing the decoherence of qubit. |
| title | Decoherence in the Pure Dephasing Spin-Boson Model with Hermitian or Non-Hermitian Bath |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2512.15297 |