تقرير
Thermalization and its Breakdown for a Large Nonlinear Spin
| العنوان: | Thermalization and its Breakdown for a Large Nonlinear Spin |
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| المؤلفون: | Kelly, Shane P., Timmermans, Eddy, Tsai, S. -W. |
| المصدر: | Phys. Rev. A 102, 052210 (2020) |
| سنة النشر: | 2019 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Quantum Gases |
| الوصف: | By developing a semi-classical analysis based on the Eigenstate Thermalization Hypothesis, we determine the long time behavior of a large spin evolving with a nonlinear Hamiltonian. Despite integrable classical dynamics, we find the Eigenstate Thermalization Hypothesis for the diagonal matrix elements of observables is satisfied in the majority of eigenstates, and thermalization of long time averaged observables is generic. The exception is a novel mechanism for the breakdown of thermalization based on an unstable fixed point in the classical dynamics. Using the semi-classical analysis we derive how the equilibrium values of observables encode properties of the initial state. This analysis shows an unusual memory effect in which the remembered initial state property is not conserved in the integrable classical dynamics. We conclude with a discussion of relevant experiments and the potential generality of this mechanism for long time memory and the breakdown of thermalization. Comment: 10 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.102.052210 |
| URL الوصول: | http://arxiv.org/abs/1910.03138 |
| رقم الأكسشن: | edsarx.1910.03138 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.102.052210 |
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