Anisotropic signatures in the spin-boson model
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916080058892288 |
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| author | Hartmann, Felix Scali, Stefano Anders, Janet |
| author_facet | Hartmann, Felix Scali, Stefano Anders, Janet |
| contents | Thermal equilibrium properties of nanoscale systems deviate from standard macroscopic predictions due to a non-negligible coupling to the environment. For anisotropic three-dimensional materials, we derive the mean force corrections to the equilibrium state of a classical spin vector. The result is valid at arbitrary coupling strength. Specifically, we consider cubic, orthorhombic, and monoclinic symmetries, and compare their spin expectation values as a function of temperature. We underpin the correctness of the mean force state by evidencing its match with the steady state of the simulated non-Markovian spin dynamics. The results show an explicit dependence on the symmetry of the confining material. In addition, some coupling symmetries show a spin alignment transition at zero temperature. Finally, we quantify the work extraction potential of the mean force-generated inhomogeneities in the energy shells. Such inhomogeneities constitute a classical equivalent to quantum coherences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16964 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anisotropic signatures in the spin-boson model Hartmann, Felix Scali, Stefano Anders, Janet Statistical Mechanics Classical Physics Quantum Physics Thermal equilibrium properties of nanoscale systems deviate from standard macroscopic predictions due to a non-negligible coupling to the environment. For anisotropic three-dimensional materials, we derive the mean force corrections to the equilibrium state of a classical spin vector. The result is valid at arbitrary coupling strength. Specifically, we consider cubic, orthorhombic, and monoclinic symmetries, and compare their spin expectation values as a function of temperature. We underpin the correctness of the mean force state by evidencing its match with the steady state of the simulated non-Markovian spin dynamics. The results show an explicit dependence on the symmetry of the confining material. In addition, some coupling symmetries show a spin alignment transition at zero temperature. Finally, we quantify the work extraction potential of the mean force-generated inhomogeneities in the energy shells. Such inhomogeneities constitute a classical equivalent to quantum coherences. |
| title | Anisotropic signatures in the spin-boson model |
| topic | Statistical Mechanics Classical Physics Quantum Physics |
| url | https://arxiv.org/abs/2305.16964 |