Quantum fidelity and quantum phase transitions in matrix product states Export

@article{citeulike:3214143, abstract = {Matrix product states, a key ingredient of numerical algorithms widely employed in the simulation of quantum spin chains, provide an intriguing tool for quantum phase transition engineering. At critical values of the control parameters on which their constituent matrices depend, singularities in the expectation values of certain observables can appear, in spite of the analyticity of the ground state energy. For this class of generalized quantum phase transitions we test the validity of the recently introduced fidelity approach, where the overlap modulus of ground states corresponding to slightly different parameters is considered. We discuss several examples, successfully identifying all the present transitions. We also study the finite size scaling of fidelity derivatives, pointing out its relevance in extracting critical exponents.}, archivePrefix = {arXiv}, author = {Cozzini, M. and Ionicioiu, R. and Zanardi, P.}, citeulike-article-id = {3214143}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0611727}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0611727}, day = {28}, eprint = {cond-mat/0611727}, keywords = {matrix\_product\_states, quantum\_phase\_transition}, month = {Nov}, posted-at = {2008-09-10 22:50:01}, priority = {2}, title = {Quantum fidelity and quantum phase transitions in matrix product states}, url = {http://arxiv.org/abs/cond-mat/0611727}, year = {2006} }

TY - JOUR ID - citeulike:3214143 L3 - citeulike-article-id:3214143 N2 - Matrix product states, a key ingredient of numerical algorithms widely employed in the simulation of quantum spin chains, provide an intriguing tool for quantum phase transition engineering. At critical values of the control parameters on which their constituent matrices depend, singularities in the expectation values of certain observables can appear, in spite of the analyticity of the ground state energy. For this class of generalized quantum phase transitions we test the validity of the recently introduced fidelity approach, where the overlap modulus of ground states corresponding to slightly different parameters is considered. We discuss several examples, successfully identifying all the present transitions. We also study the finite size scaling of fidelity derivatives, pointing out its relevance in extracting critical exponents. TI - Quantum fidelity and quantum phase transitions in matrix product states KW - matrix_product_states KW - quantum_phase_transition AU - Cozzini, M AU - Ionicioiu, R AU - Zanardi, P PY - 2006/Nov/28/ UR - http://arxiv.org/abs/cond-mat/0611727 ER -