Replacing energy by von Neumann entropy in quantum phase transitions Export

@article{citeulike:6080063, abstract = {We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.}, author = {Kopp, A. and Jia, X. and Chakravarty, S.}, citeulike-article-id = {6080063}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.aop.2006.08.002}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0003491606001825}, doi = {10.1016/j.aop.2006.08.002}, issn = {00034916}, journal = {Annals of Physics}, keywords = {thermodynamics}, month = {June}, number = {6}, pages = {1466--1476}, posted-at = {2009-11-06 07:14:52}, priority = {2}, title = {Replacing energy by von Neumann entropy in quantum phase transitions}, url = {http://dx.doi.org/10.1016/j.aop.2006.08.002}, volume = {322}, year = {2007} }

TY - JOUR ID - citeulike:6080063 L3 - citeulike-article-id:6080063 N2 - We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition. IS - 6 JF - Annals of Physics SN - 00034916 EP - 1476 TI - Replacing energy by von Neumann entropy in quantum phase transitions VL - 322 SP - 1466 KW - thermodynamics AU - Kopp, A AU - Jia, X AU - Chakravarty, S PY - 2007/06// UR - http://dx.doi.org/10.1016/j.aop.2006.08.002 ER -