Fidelity and purity decay in weakly coupled composite systems

Journal of Physics A: Mathematical and General

Volumn 36, Issue 10, 2003, Pages 2463-2481

  Žnidarič, Marko ^a   Prosen, Tomaž ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037436724     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/10/307     Document Type: Article

References (35)

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9. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
10. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
11. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
12. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
13. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
14. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
15. Tomsovic S and Cerruti N R 2001 Sensitivity of wave field evolution and manifold stability in chaotic systems Phys. Rev. Lett. 88 054103 Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206(R) Wisniacki D A, Vergini E G, Pastawski H M and Cucchietti F M 2002 Sensitivity to perturbations in a quantum chaotic billiard Phys. Rev. E 65 055206(R) Cucchietti F M, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2001 Measuring the Lyapunov exponent using quantum mechanics Preprint nlin.CD/0112015 Benenti G and Casati G 2002 Sensitivity of quantum motion for classically chaotic systems Phys. Rev. E 65 066205 Benenti G, Casati G and Veble G 2002 Asymptotic decay of the classical Loschmidt echo in chaotic systems Preprint nlin.CD/0208003 Jacquod Ph, Adagideli I and Beenakker C W J 2002 Decay of the Loschmidt echo for quantum states with sub-Planck scale structure Phys. Rev. Lett. 89 154103 Wisniacki D A and Cohen D 2001 Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states Preprint quant-ph/0111125 Emerson J, Weinstein Y S, Lloyd S and Cory D 2002 Fidelity decay as an efficient indicator of quantum chaos Preprint quant-ph/0207099 Wang W and Li B 2002 Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay Preprint nlin.CD/0208013
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