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Interplay of Quantum and Classical Fluctuations Near Quantum Critical Points

M. A. Contínentino

arXiv:1108.0651Brazilian Journal of PhysicsJul 16, 20118 citations

Detecting Quantum Critical Points Using Bipartite Fluctuations

Stephan Rachel, Nicolas Laflorencie, Hao Song +1 more

We show that the concept of bipartite fluctuations F provides a very efficient tool to detect quantum phase transitions in strongly correlated systems. Using state-of-the-art numerical techniques complemented with analytical arguments, we investigate paradigmatic examples for both quantum spins and bosons. As compared to the von Neumann entanglement entropy, we observe that F allows us to find quantum critical points with much better accuracy in one dimension. We further demonstrate that F can be successfully applied to the detection of quantum criticality in higher dimensions with no prior knowledge of the universality class of the transition. Promising approaches to experimentally access fluctuations are discussed for quantum antiferromagnets and cold gases.We show that the concept of bipartite fluctuations F provides a very efficient tool to detect quantum phase transitions in strongly correlated systems. Using state-of-the-art numerical techniques complemented with analytical arguments, we investigate paradigmatic examples for both quantum spins and bosons. As compared to the von Neumann entanglement entropy, we observe that F allows us to find quantum critical points with much better accuracy in one dimension. We further demonstrate that F can be successfully applied to the detection of quantum criticality in higher dimensions with no prior knowledge of the universality class of the transition. Promising approaches to experimentally access fluctuations are discussed for quantum antiferromagnets and cold gases.

arXiv:1110.0743Physical Review LettersMar 12, 201294 citations

A Perspective on Quantum Entanglements

WORLD SCIENTIFIC eBooksMay 1, 20240 citations

Decoherence In Adiabatic Quantum Computation, Teleportation-Based Realization Of An Optical Quantum Two-Qubit Entangling Gate, Cluster States And One-Way Quantum Computation, Optimization Of Networks For Measurement-Based Quantum Computation, Wigner Funct

K.N.P. Kumar

Properties of systems near quantum critical points (QCPs) have been studied extensively. A QCP is a point across which the symmetry of (e) the ground state of a quantum system changes (ee such a point can be accessed by (e) changing some parameter, say λ, in the Hamiltonian governing the system. The change in the ground state across a QCP is mediated by (e&eb) quantum fluctuations. Unlike conventional thermal critical points, thermal fluctuations do not (e) play a crucial role in such transitions The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-409888-414212.pdfProperties of systems near quantum critical points (QCPs) have been studied extensively. A QCP is a point across which the symmetry of (e) the ground state of a quantum system changes (ee such a point can be accessed by (e) changing some parameter, say λ, in the Hamiltonian governing the system. The change in the ground state across a QCP is mediated by (e&eb) quantum fluctuations. Unlike conventional thermal critical points, thermal fluctuations do not (e) play a crucial role in such transitions The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-409888-414212.pdf

Advances in physics theories and applicationsJan 1, 20130 citations

Entanglement and Quantum Information

Springer eBooksApr 23, 20071 citation

Correlated Quantum Walks In Optical Lattices, Holographic Quantum Error-Correcting Codes, Valence-Bond States And Weak Nonlinearities, Entangled Microwave Photon States, Photon Emission From A Cavity-Coupled Double Quantum Dot, Classical Simulation Of Qua

K.N.P. Kumar

Properties of systems near quantum critical points (QCPs) have been studied extensively. A QCP is a point across which the symmetry of (e) the ground state of a quantum system changes (e&eb) in a fundamental way; such a point can be accessed by (e) changing some parameter, say λ, in the Hamiltonian governing the system. The change in the ground state across a QCP is mediated by (e&eb) quantum fluctuations. Unlike conventional thermal critical points, thermal fluctuations do not (e) play a crucial role in such transitions. Similar to its thermal counterparts, the low-energy physics near a QCP is associated with (e&*eb) a number of critical exponents which characterize (eb) the universality class of such a transition. Among these exponents,....... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-414213-418614.pdfProperties of systems near quantum critical points (QCPs) have been studied extensively. A QCP is a point across which the symmetry of (e) the ground state of a quantum system changes (e&eb) in a fundamental way; such a point can be accessed by (e) changing some parameter, say λ, in the Hamiltonian governing the system. The change in the ground state across a QCP is mediated by (e&eb) quantum fluctuations. Unlike conventional thermal critical points, thermal fluctuations do not (e) play a crucial role in such transitions. Similar to its thermal counterparts, the low-energy physics near a QCP is associated with (e&*eb) a number of critical exponents which characterize (eb) the universality class of such a transition. Among these exponents,....... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-414213-418614.pdf

Advances in physics theories and applicationsJan 1, 20130 citations

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