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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C10012 - Emergence and Entanglement - 2010PODCAST Subscribe to podcast

Emergence and Entanglement

Organizer(s):

Collection URL: http://pirsa.org/C10012

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Description of many-body systems using MPS, PEPS, and other families of states
Speaker(s): Ignacio Cirac
Abstract: Matrix Product States (MPS) and their higher dimensional extensions, the Projected Entangled-Pair States (PEPS) can efficiently describe the ground and thermal states of interacting systems with short-range interactions. We will describe some mathematical properties of this families of states, as we... read more
Date: 25/05/2010 - 9:45 am

Grasping quantum many-body systems in terms of tensor networks
Speaker(s): Jens Eisert
Abstract: This talk will be concerned with three new results (or a subset thereof) on the idea of grasping quantum many-body systems in terms of suitable tensor networks, such as finitely correlated states (FCS), tree tensor networks (TTN), projected entangled pair states (PEPS) or entanglement renormalizatio... read more
Date: 25/05/2010 - 10:30 am

Unitary Equilibrations: Temporal and Hilbert Space Typicality Loschmidt Echo
Speaker(s): Paolo Zanardi
Abstract: Closed quantum systems evolve unitarily and therefore cannot converge in a strong sense to an equilibrium state starting out from a generic pure state. Nevertheless for large system size one observes temporal typicality. Namely, for the overwhelming majority of the time instants, the statistics of o... read more
Date: 25/05/2010 - 11:45 am

A variational wave-function based method for simulating quantum field theories
Speaker(s): Frank Verstraete
Abstract: TBA
Date: 25/05/2010 - 2:00 pm

Entanglement renormalization and gauge symmetry
Speaker(s): Guifre Vidal
Abstract: A lattice gauge theory is described by a redundantly large vector space that is subject to local constraints, and it can be regarded as the low energy limit of a lattice model with a local symmetry. I will describe a coarse-graining scheme capable of exactly preserving local symmetries. The approach... read more
Date: 25/05/2010 - 2:45 pm

Quantum mechanical and information theoretic view on classical glass transitions
Speaker(s): Claudio Chamon
Abstract: Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition in the latter. At the dynamical level, the transition corresp... read more
Date: 25/05/2010 - 4:00 pm

Entanglement across a separation in spin chains: statics & dynamics
Speaker(s): Sougato Bose
Abstract: In this talk, I will present two schemes which would result in substantial entanglement between distant individual spins of a spin chain. One relies on a global quench of the couplings of a spin chain, while the other relies on a bond quenching at one end. Both of the schemes result in substantial e... read more
Date: 25/05/2010 - 4:45 pm

Entanglement entropy in the O(N) model
Speaker(s): Max Metlitski
Abstract: In recent years the characterization of many-body ground states via the entanglement of their wave-function has attracted a lot of attention. One useful measure of entanglement is provided by the entanglement entropy S. The interest in this quantity has been sparked, in part, by the result that at ... read more
Date: 26/05/2010 - 9:45 am

Computing Entanglement in Simulations of Quantum Condensed Matter
Speaker(s): Roger Melko
Abstract: Condensed matter theorists have recently begun exploiting the properties of entanglement as a resource for studying quantum materials. At the forefront of current efforts is the question of how the entanglement of two subregions in a quantum many-body groundstate scales with the subregion size. The ... read more
Date: 26/05/2010 - 10:30 am

Entanglement entropy and infinite randomness fixed points in disordered magnetic and non-abelian quasi-particle chains
Speaker(s): Gil Refael
Abstract: Many one dimensional random quantum systems exhibit infinite randomness phases, such as the random singlet phase of the spin-1/2 Heisenberg model. These phases are typically the result of destabilizing systems described by a conformal field theory with disorder. Interestingly, entanglement entropy i... read more
Date: 26/05/2010 - 11:45 am

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