dorsal/arxiv
View SchemaQuantum and Thermal Corrections to a Classically Chaotic Dissipative System
| Authors | M. Rodriguez-Achach, G. Perez, H. Cerdeira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404001 |
| URL | https://arxiv.org/abs/quant-ph/0404001 |
Abstract
The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density matrix of the system. We find that the type of bifurcations present in the system change upon quantization and that chaotic behavior appears for values of the nonlinear parameter that are far below the chaotic threshold for the classical model. Upon increase of temperature or Planck's constant, bifurcation points and chaotic thresholds are shifted towards lower values of the nonlinear parameter. There is also an anomalous reverse behavior for low values of the cutoff frequency.
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"abstract": "The effects of quantum and thermal corrections on the dynamics of a damped\nnonlinearly kicked harmonic oscillator are studied. This is done via the\nQuantum Langevin Equation formalism working on a truncated moment expansion of\nthe density matrix of the system. We find that the type of bifurcations present\nin the system change upon quantization and that chaotic behavior appears for\nvalues of the nonlinear parameter that are far below the chaotic threshold for\nthe classical model. Upon increase of temperature or Planck\u0027s constant,\nbifurcation points and chaotic thresholds are shifted towards lower values of\nthe nonlinear parameter. There is also an anomalous reverse behavior for low\nvalues of the cutoff frequency.",
"arxiv_id": "quant-ph/0404001",
"authors": [
"M. Rodriguez-Achach",
"G. Perez",
"H. Cerdeira"
],
"categories": [
"quant-ph"
],
"title": "Quantum and Thermal Corrections to a Classically Chaotic Dissipative System",
"url": "https://arxiv.org/abs/quant-ph/0404001"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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