Abstract:
We study the evolution of a system of two qubits, each of which interacts locally with a spin chain with nontrivial internal Hamiltonian. We present an exact solution to this problem and analyze the dependence of decoherence on the distance between the interaction sites. In the strong coupling regime we find that decoherence increases with increasing distance. In the weak coupling regime the dependence of decoherence with distance is not generic (i.e., it varies according to the initial state). Decoherence becomes independent of distance when the latter is over a saturation length l. Numerical results for the Ising chain suggest that the saturation scale is related to the correlation length ξ. For strong coupling we display evidence of the existence of non-Markovian effects (such as environment-induced interactions between the qubits). As a consequence the system can undergo a quasiperiodic sequence of "sudden deaths and revivals" of entanglement, with a time scale related to the distance between qubits. © 2008 The American Physical Society.
Registro:
| Documento: |
Artículo
|
| Título: | Decoherence of Bell states by local interactions with a dynamic spin environment |
| Autor: | Cormick, C.; Paz, J.P. |
| Filiación: | Departamento de Física, FCEyN, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina
|
| Palabras clave: | Spin dynamics; Bell states; Correlation lengths; Decoherence; Exact solutions; Hamiltonian; Initial states; Interaction sites; Ising chains; Local interactions; Non-markovian effects; Numerica l results; Spin chains; Strong couplings; Strong-coupling regime; Time scaling; Weak-coupling regime; Flow interactions |
| Año: | 2008
|
| Volumen: | 78
|
| Número: | 1
|
| DOI: |
http://dx.doi.org/10.1103/PhysRevA.78.012357 |
| Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
|
| Título revista abreviado: | Phys Rev A
|
| ISSN: | 10502947
|
| CODEN: | PLRAA
|
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v78_n1_p_Cormick |
Referencias:
- Zeh, H.D., (1973) Found. Phys., 3, p. 109. , FNDPA4 0015-9018 10.1007/BF00708603
- Paz, J.P., Zurek, W.H., (2001) Coherent Atomic Matter Waves, pp. 533-614. , Les Houches Session LXXII, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin
- Zurek, W.H., (2003) Rev. Mod. Phys., 75, p. 715. , RMPHAT 0034-6861 10.1103/RevModPhys.75.715
- Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , Cambridge University Press, Cambridge, UK
- Cormick, C., Paz, J.P., (2008) Phys. Rev. A, 77, p. 022317. , PLRAAN 1050-2947 10.1103/PhysRevA.77.022317
- Jing, J., Lu, Z.-G., (2006), arXiv:quant-ph/0612115; Yu, T., Eberly, J.H., (2004) Phys. Rev. Lett., 93, p. 140404. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.140404
- We avoid taking values of the Hamiltonian parameters for which the ground state | E0 is undefined because of degeneracy; Rossini, D., Calarco, T., Giovannetti, V., Montangero, S., Fazio, R., (2007) Phys. Rev. A, 75, p. 032333. , PLRAAN 1050-2947 10.1103/PhysRevA.75.032333
- Levstein, P.R., Usaj, G., Pastawski, H.M., (1998) J. Chem. Phys., 108, p. 2718. , JCPSA6 0021-9606 10.1063/1.475664
- Lieb, E., Schultz, T., Mattis, D., (1961) Ann. Phys., 16, p. 407. , ANPYA2 0003-3804 10.1016/0003-4916(61)90115-4
- Vidal, G., Werner, R.F., (2002) Phys. Rev. A, 65, p. 032314. , PLRAAN 1050-2947 10.1103/PhysRevA.65.032314
- Pfeuty, P., (1970) Ann. Phys., 57, p. 79. , 0003-4916
- Barouch, E., Mc Coy, B., (1971) Phys. Rev. A, 3, p. 786. , PLRAAN 1050-2947 10.1103/PhysRevA.3.786
- Cucchietti, F.M., Fernandez-Vidal, S., Paz, J.P., (2007) Phys. Rev. A, 75, p. 032337. , PLRAAN 1050-2947 10.1103/PhysRevA.75.032337
- The populations of the particles that diagonalize the perturbed Hamiltonian in the ground state of the unperturbed chain are? E0 | ηj † (11) ηj (11) | E0 = (ht h) jj; Cozzini, M., Giorda, P., Zanardi, P., (2007) Phys. Rev. B, 75, p. 014439. , PRBMDO 0163-1829 10.1103/PhysRevB.75.014439
- Chung, M.-C., Peschel, I., (2001) Phys. Rev. B, 64, p. 064412. , PRBMDO 0163-1829 10.1103/PhysRevB.64.064412
- Negele, J.W., Orland, H., (1987) Frontiers in Physics, 68. , Addison-Wesley, Redwood City, CA
- Rossini, D., Facchi, P., Fazio, R., Florio, G., Lidar, D.A., Pascazio, S., Plastina, F., Zanardi, P., (2008) Phys. Rev. A, 77, p. 052112. , PLRAAN 1050-2947 10.1103/PhysRevA.77.052112
- For numerical computations, we use an auxiliary basis given by the Fourier transform of the operators cj. This basis diagonalized naturally the translation operator
Citas:
---------- APA ----------
Cormick, C. & Paz, J.P.
(2008)
. Decoherence of Bell states by local interactions with a dynamic spin environment. Physical Review A - Atomic, Molecular, and Optical Physics, 78(1).
http://dx.doi.org/10.1103/PhysRevA.78.012357---------- CHICAGO ----------
Cormick, C., Paz, J.P.
"Decoherence of Bell states by local interactions with a dynamic spin environment"
. Physical Review A - Atomic, Molecular, and Optical Physics 78, no. 1
(2008).
http://dx.doi.org/10.1103/PhysRevA.78.012357---------- MLA ----------
Cormick, C., Paz, J.P.
"Decoherence of Bell states by local interactions with a dynamic spin environment"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78, no. 1, 2008.
http://dx.doi.org/10.1103/PhysRevA.78.012357---------- VANCOUVER ----------
Cormick, C., Paz, J.P. Decoherence of Bell states by local interactions with a dynamic spin environment. Phys Rev A. 2008;78(1).
http://dx.doi.org/10.1103/PhysRevA.78.012357