dorsal/arxiv
View SchemaDeterministic constant-temperature dynamics for dissipative quantum systems
| Authors | Alessandro Sergi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701242 |
| URL | https://arxiv.org/abs/quant-ph/0701242 |
| DOI | 10.1088/1751-8113/40/17/F05 |
Abstract
A novel method is introduced in order to treat the dissipative dynamics of quantum systems interacting with a bath of classical degrees of freedom. The method is based upon an extension of the Nos\`e-Hoover chain (constant temperature) dynamics to quantum-classical systems. Both adiabatic and nonadiabatic numerical calculations on the relaxation dynamics of the spin-boson model show that the quantum-classical Nos\`e-Hoover chain dynamics represents the thermal noise of the bath in an accurate and simple way. Numerical comparisons, both with the constant energy calculation and with the quantum-classical Brownian motion treatment of the bath, show that the quantum-classical Nos\`e-Hoover Chain dynamics can be used to introduce dissipation in the evolution of a quantum subsystem even with just one degree of freedom for the bath. The algorithm can be computationally advantageous in modeling, within computer simulation, the dynamics of a quantum subsystem interacting with complex molecular environments.
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"abstract": "A novel method is introduced in order to treat the dissipative dynamics of\nquantum systems interacting with a bath of classical degrees of freedom. The\nmethod is based upon an extension of the Nos\\`e-Hoover chain (constant\ntemperature) dynamics to quantum-classical systems. Both adiabatic and\nnonadiabatic numerical calculations on the relaxation dynamics of the\nspin-boson model show that the quantum-classical Nos\\`e-Hoover chain dynamics\nrepresents the thermal noise of the bath in an accurate and simple way.\nNumerical comparisons, both with the constant energy calculation and with the\nquantum-classical Brownian motion treatment of the bath, show that the\nquantum-classical Nos\\`e-Hoover Chain dynamics can be used to introduce\ndissipation in the evolution of a quantum subsystem even with just one degree\nof freedom for the bath. The algorithm can be computationally advantageous in\nmodeling, within computer simulation, the dynamics of a quantum subsystem\ninteracting with complex molecular environments.",
"arxiv_id": "quant-ph/0701242",
"authors": [
"Alessandro Sergi"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/17/F05",
"title": "Deterministic constant-temperature dynamics for dissipative quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0701242"
},
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