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Pinning of Fermionic Occupation Numbers

Christian Schilling ETH Zurich
January 21, 2013

PIRSA:13010105
Quantum Information
12/13 PSI - Found Quantum Mechanics Lecture 11

Robert Spekkens Perimeter Institute for Theoretical Physics
January 21, 2013

PIRSA:13010080
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 11

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 21, 2013

PIRSA:13010061
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 11

Mark Wise California Institute of Technology (Caltech)
January 21, 2013

PIRSA:13010038
Particle Physics
Indirect Searches for Dark Matter with the Fermi Large Area Telescope

Andrea Marie Albert Ohio State University
January 18, 2013

PIRSA:13010102
Particle Physics
12/13 PSI - Found Quantum Mechanics Lecture 10

Robert Spekkens Perimeter Institute for Theoretical Physics
January 18, 2013

PIRSA:13010077
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 10

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 18, 2013

PIRSA:13010058
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 10

Mark Wise California Institute of Technology (Caltech)
January 18, 2013

PIRSA:13010035
Particle Physics
The black hole information paradox and its resolution

Ted Jacobson University of Maryland, College Park
January 17, 2013

PIRSA:13010021
Quantum Gravity
12/13 PSI - Found Quantum Mechanics Lecture 9

Robert Spekkens Perimeter Institute for Theoretical Physics
January 17, 2013

PIRSA:13010076
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 9

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 17, 2013

PIRSA:13010057
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 9

Mark Wise California Institute of Technology (Caltech)
January 17, 2013

PIRSA:13010034
Particle Physics

Pinning of Fermionic Occupation Numbers

Christian Schilling ETH Zurich
January 21, 2013

PIRSA:13010105
Quantum Information
The problem of determining and describing the family of 1-particle reduced density operators (1-RDO) arising from N-fermion pure states (viapartial trace) is known as the fermionic quantum marginal problem. We present its solution, a multitude of constraints on the eigenvalues of the 1-RDO, generalizing the Pauli exclusion principle. To explore the relevance of these constraints we study an analytically solvable model of N fermions in a harmonic potential and determine the spectral `trajectory' corresponding to the ground state as function of the fermion-fermion interaction strength.Intriguingly, we find that the occupation numbers are almost, but not exactly, pinned to the boundary of the allowed region (quasi-pinned). Our findings suggest a generalization of the Hartree-Fock approximation.

see also: http://arxiv.org/abs/1210.5531
12/13 PSI - Found Quantum Mechanics Lecture 11

Robert Spekkens Perimeter Institute for Theoretical Physics
January 21, 2013

PIRSA:13010080
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 11

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 21, 2013

PIRSA:13010061
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 11

Mark Wise California Institute of Technology (Caltech)
January 21, 2013

PIRSA:13010038
Particle Physics
Indirect Searches for Dark Matter with the Fermi Large Area Telescope

Andrea Marie Albert Ohio State University
January 18, 2013

PIRSA:13010102
Particle Physics
There is overwhelming evidence that non-baryonic dark matter constitutes ~23% of the energy density of the universe. Weakly Interacting Massive Particles (WIMPs) are promising dark matter candidates that may produce gamma rays via annihilation or decay detectable by the Fermi Large Area Telescope (Fermi LAT). A detection of WIMPs would also indicate the existence of physics beyond the Standard Model. I will present recent results from indirect WIMP searches by the Fermi LAT Collaboration. I will focus on our recent search for gamma-ray spectral lines from WIMP annihilations with 4 years of data. There has been recent excitement with the report of a line-like feature localized in the galactic center around 130 GeV. I will be discussing what our search finds and the systematic checks we've performed on potential signals.
12/13 PSI - Found Quantum Mechanics Lecture 10

Robert Spekkens Perimeter Institute for Theoretical Physics
January 18, 2013

PIRSA:13010077
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 10

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 18, 2013

PIRSA:13010058
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 10

Mark Wise California Institute of Technology (Caltech)
January 18, 2013

PIRSA:13010035
Particle Physics
The black hole information paradox and its resolution

Ted Jacobson University of Maryland, College Park
January 17, 2013

PIRSA:13010021
Quantum Gravity
Both AdS/CFT duality and more general reasoning from quantum gravity point to a rich collection of boundary observables that always evolve unitarily. The physical quantum gravity states described by these observables must be solutions of the spatial diffeomorphism and Wheeler-deWitt constraints, which implies that the state space does not factorize into a tensor product of localized degrees of freedom. The "firewall" argument that unitarity of black hole evaporation is incompatible with a regular near horizon region is based on such a factorization, hence is not applicable in quantum gravity. A version of black hole complementarity resolves the apparent conflict. (I will also discuss doubts and questions.)
12/13 PSI - Found Quantum Mechanics Lecture 9

Robert Spekkens Perimeter Institute for Theoretical Physics
January 17, 2013

PIRSA:13010076
Quantum Fields and Strings
12/13 PSI - String Theory Review Lecture 9

Barton Zwiebach Massachusetts Institute of Technology (MIT) - Department of Physics
January 17, 2013

PIRSA:13010057
Quantum Fields and Strings
12/13 PSI - Standard Model Review Lecture 9

Mark Wise California Institute of Technology (Caltech)
January 17, 2013

PIRSA:13010034
Particle Physics

Title	Date	Collection	Type	Info
Pinning of Fermionic Occupation Numbers	2013‑01‑21	Perimeter Institute Quantum Discussions	Scientific Series	View details
12/13 PSI - Found Quantum Mechanics Lecture 11	2013‑01‑21	12/13 PSI - Found Quantum Mechanics	Course	View details
12/13 PSI - String Theory Review Lecture 11	2013‑01‑21	12/13 PSI - String Theory Review	Course	View details
12/13 PSI - Standard Model Review Lecture 11	2013‑01‑21	12/13 PSI - Standard Model Review	Course	View details
Indirect Searches for Dark Matter with the Fermi Large Area Telescope	2013‑01‑18	Particle Physics	Scientific Series	View details
12/13 PSI - Found Quantum Mechanics Lecture 10	2013‑01‑18	12/13 PSI - Found Quantum Mechanics	Course	View details
12/13 PSI - String Theory Review Lecture 10	2013‑01‑18	12/13 PSI - String Theory Review	Course	View details
12/13 PSI - Standard Model Review Lecture 10	2013‑01‑18	12/13 PSI - Standard Model Review	Course	View details
The black hole information paradox and its resolution	2013‑01‑17	Quantum Gravity	Scientific Series	View details
12/13 PSI - Found Quantum Mechanics Lecture 9	2013‑01‑17	12/13 PSI - Found Quantum Mechanics	Course	View details
12/13 PSI - String Theory Review Lecture 9	2013‑01‑17	12/13 PSI - String Theory Review	Course	View details
12/13 PSI - Standard Model Review Lecture 9	2013‑01‑17	12/13 PSI - Standard Model Review	Course	View details

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