Dynamical aspects of quantum entanglement for coupled mapping systems Export

@inproceedings{citeulike:4866906, abstract = {We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the entanglement production rate which is defined by using the linear entropy of the subsystem. This formula predicts that the increment in the strength of chaos does not enhance the production rate of entanglement when the coupling is weak enough and the subsystems are strongly chaotic. The prediction is confirmed by numerical experiments for coupled kicked tops and rotors. We also discuss the entanglement production using the Husimi representation of the reduced density matrix.}, author = {Hiroshi}, citeulike-article-id = {4866906}, citeulike-linkout-0 = {http://jpsj.ipap.jp/link?JPSJS/72SC/111/}, comment = {eprint: http://arxiv.org/abs/quant-ph/0302015}, editor = {Ohba}, journal = {J. Phys. Soc. Japan Suppl. C}, keywords = {chaos, entanglement, quantum}, month = {November}, pages = {111--114}, posted-at = {2009-06-16 08:16:50}, priority = {0}, title = {Dynamical aspects of quantum entanglement for coupled mapping systems}, url = {http://jpsj.ipap.jp/link?JPSJS/72SC/111/}, volume = {72}, year = {2003} }

TY - CONF ID - citeulike:4866906 L3 - citeulike-article-id:4866906 N2 - We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the entanglement production rate which is defined by using the linear entropy of the subsystem. This formula predicts that the increment in the strength of chaos does not enhance the production rate of entanglement when the coupling is weak enough and the subsystems are strongly chaotic. The prediction is confirmed by numerical experiments for coupled kicked tops and rotors. We also discuss the entanglement production using the Husimi representation of the reduced density matrix. JF - J. Phys. Soc. Japan Suppl. C EP - 114 TI - Dynamical aspects of quantum entanglement for coupled mapping systems VL - 72 SP - 111 KW - chaos KW - entanglement KW - quantum N1 - eprint: http://arxiv.org/abs/quant-ph/0302015 AU - Hiroshi A2 - Ohba PY - 2003/11// UR - http://jpsj.ipap.jp/link?JPSJS/72SC/111/ ER -