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Relativity - Lecture 2

Michael Duff Imperial College London

September 11, 2012

PIRSA:12090020
Quantum Theory - Lecture 2

Joseph Emerson Institute for Quantum Computing (IQC)

September 11, 2012

PIRSA:12090001
Relativity - Lecture 1

Michael Duff Imperial College London

September 10, 2012

PIRSA:12090019
Quantum Theory - Lecture 1

Joseph Emerson Institute for Quantum Computing (IQC)

September 10, 2012

PIRSA:12090000
Introduction to Mathematica - Lecture 2b

Pedro Vieira Perimeter Institute for Theoretical Physics
September 07, 2012

PIRSA:12090053
Mathematical physics
Introduction to Mathematica - Lecture 2a

Pedro Vieira Perimeter Institute for Theoretical Physics
September 07, 2012

PIRSA:12090052
Mathematical physics
Multiplets in the Entanglement Spectrum

Ari Turner Universiteit van Amsterdam

September 06, 2012

PIRSA:12090056
12/13 PSI Researcher Presentations

Greg Dick Brock University

September 05, 2012

PIRSA:12090040
Entropic uncertainty relations for quantum operations

Karol Zyczkowski Jagiellonian University
September 05, 2012

PIRSA:12090057
Mathematical physics
Ising Model

John Berlinsky McMaster University
September 04, 2012

PIRSA:12090054
Mathematical physics
Inflation from Magnetic Drift

Mark Wyman PDT Partners LLC
September 04, 2012

PIRSA:12090050
Cosmology
Introduction to Mathematica - Lecture 1b

Pedro Vieira Perimeter Institute for Theoretical Physics
September 04, 2012

PIRSA:12090051
Mathematical physics

Relativity - Lecture 2

Michael Duff Imperial College London

September 11, 2012

PIRSA:12090020
Quantum Theory - Lecture 2

Joseph Emerson Institute for Quantum Computing (IQC)

September 11, 2012

PIRSA:12090001
Relativity - Lecture 1

Michael Duff Imperial College London

September 10, 2012

PIRSA:12090019
Quantum Theory - Lecture 1

Joseph Emerson Institute for Quantum Computing (IQC)

September 10, 2012

PIRSA:12090000
Introduction to Mathematica - Lecture 2b

Pedro Vieira Perimeter Institute for Theoretical Physics
September 07, 2012

PIRSA:12090053
Mathematical physics
Introduction to Mathematica - Lecture 2a

Pedro Vieira Perimeter Institute for Theoretical Physics
September 07, 2012

PIRSA:12090052
Mathematical physics
Multiplets in the Entanglement Spectrum

Ari Turner Universiteit van Amsterdam

September 06, 2012

PIRSA:12090056

What information can be determined about a state given just the ground state wave function? Quantum ground states, speaking intuitively, contain fluctuations between many of the configurations one might want to understand. The information about them can be organized by introducing an imaginary system, dubbed the entanglement Hamiltonian. What light does the dynamics of this Hamiltonian (a precise version of the notion of "zero point motion") shed on the actual system?

I will start my discussion near critical points, where Lorentz invariance often emerges and the entanglement Hamiltonian becomes tractable, revealing that it exists in one dimension less than the real system. One application is to the fluctuations of angular momentum in a spin chain.

The entanglement Hamiltonian is especially successful at clarifying the properties of quantum phases without order, such as topological insulators. In particular, spin chains often have no long range order due to quantum fluctuations. Nevertheless there can be phase transitions between two of these disordered states, suggesting the existence of a hidden order.

My main aim in the talk will be to demonstrate that the entanglement spectrum can serve as an order parameter for these unusual transitions; this observation leads to a classification of one-dimensional phases. One can understand the phases of the actual system simply by looking at the spectrum of the entanglement Hamiltonian, just as one deduces the properties of atoms from their spectra.
12/13 PSI Researcher Presentations

Greg Dick Brock University

September 05, 2012

PIRSA:12090040
Entropic uncertainty relations for quantum operations

Karol Zyczkowski Jagiellonian University
September 05, 2012

PIRSA:12090057
Mathematical physics
Ising Model

John Berlinsky McMaster University
September 04, 2012

PIRSA:12090054
Mathematical physics
Inflation from Magnetic Drift

Mark Wyman PDT Partners LLC
September 04, 2012

PIRSA:12090050
Cosmology
I will describe a new, generic mechanism for realizing a period of slowly-rolling inflation through the use of an analog of 'magnetic drift.' I will demonstrate how the mechanism works through two particular worked examples: Chromo-Natural Inflation, which exists as a purely 4D effective theory, and a version that can appear naturally in string theory.
Introduction to Mathematica - Lecture 1b

Pedro Vieira Perimeter Institute for Theoretical Physics
September 04, 2012

PIRSA:12090051
Mathematical physics

Title	Date	Collection	Type	Info
Relativity - Lecture 2	2012‑09‑11	12/13 PSI - Relativity	Course	View details
Quantum Theory - Lecture 2	2012‑09‑11	12/13 PSI - Quantum Theory	Course	View details
Relativity - Lecture 1	2012‑09‑10	12/13 PSI - Relativity	Course	View details
Quantum Theory - Lecture 1	2012‑09‑10	12/13 PSI - Quantum Theory	Course	View details
Introduction to Mathematica - Lecture 2b	2012‑09‑07	12/13 PSI - Front End	Course	View details
Introduction to Mathematica - Lecture 2a	2012‑09‑07	12/13 PSI - Front End	Course	View details
Multiplets in the Entanglement Spectrum	2012‑09‑06	Quantum Matter	Scientific Series	View details
12/13 PSI Researcher Presentations	2012‑09‑05	12/13 PSI Researcher Presentations	Course	View details
Entropic uncertainty relations for quantum operations	2012‑09‑05	Perimeter Institute Quantum Discussions	Scientific Series	View details
Ising Model	2012‑09‑04	12/13 PSI - Front End	Course	View details
Inflation from Magnetic Drift	2012‑09‑04	Cosmology and Gravitation	Scientific Series	View details
Introduction to Mathematica - Lecture 1b	2012‑09‑04	12/13 PSI - Front End	Course	View details

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