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

Abstract

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,.......

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