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Computer Algebra for Theoretical Physics

Edgardo Cheb-Terrab Maplesoft

October 07, 2014

PIRSA:14100068
14/15 PSI - Conformal Field Theory- Lecture 1

Jaume Gomis Perimeter Institute for Theoretical Physics

October 06, 2014

PIRSA:14100008
14/15 PSI - Quantum Field Theory I (A) - Lecture 1
- Tibra Ali Perimeter Institute for Theoretical Physics
- Dan Wohns Perimeter Institute for Theoretical Physics
October 06, 2014

PIRSA:14100027
14/15 PSI - Statistical Mechanics - Lecture 1

Anton Burkov University of Waterloo

October 06, 2014

PIRSA:14100082
PHYS 781 - Lecture 6

Niayesh Afshordi University of Waterloo

October 03, 2014

PIRSA:14100061
PHYS 781 - Lecture 5

Niayesh Afshordi University of Waterloo

October 02, 2014

PIRSA:14100056
Probing (beyond) general relativity with compact binaries and gravitational waves

Leo Stein Cornell University
October 02, 2014

PIRSA:14100003
General Relativity & Quantum Cosmology
The Effective Field Theory of Cosmological Large Scale Structures

Leonardo Senatore ETH Zurich
October 02, 2014

PIRSA:14090041
Astrophysics
Quantum Entanglement and Superconductivity

Subir Sachdev Harvard University
October 01, 2014

PIRSA:14100080
Condensed Matter
Defects: A new window into topological quantum matter

Maissam Barkeshli University of California, Santa Barbara

October 01, 2014

PIRSA:14100048
The Topology of Information Flow

Jamie Vicary University of Oxford

September 30, 2014

PIRSA:14090076
Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits

Eduardo Mucciolo University of Central Florida
September 30, 2014

PIRSA:14090028
Condensed Matter

Computer Algebra for Theoretical Physics

Edgardo Cheb-Terrab Maplesoft

October 07, 2014

PIRSA:14100068

Generally speaking, physicists still experience that computing with paper and pencil is in most cases simpler than computing on a Computer Algebra worksheet. On the other hand, recent developments in the Maple system implemented most of the mathematical objects and mathematics used in theoretical physics computations, and dramatically approximated the notation used in the computer to the one used in paper and pencil, diminishing the learning gap and computer-syntax distraction to a strict minimum. In connection, in this talk the Physics project at Maplesoft is presented and the resulting Physics package illustrated tackling problems in classical and quantum mechanics, general relativity and field theory. In addition to the 10 a.m lecture, there will be a hands-on workshop at 1pm in the Alice Room. Feel free to join!
14/15 PSI - Conformal Field Theory- Lecture 1

Jaume Gomis Perimeter Institute for Theoretical Physics

October 06, 2014

PIRSA:14100008
14/15 PSI - Quantum Field Theory I (A) - Lecture 1
- Tibra Ali Perimeter Institute for Theoretical Physics
- Dan Wohns Perimeter Institute for Theoretical Physics
October 06, 2014

PIRSA:14100027
14/15 PSI - Statistical Mechanics - Lecture 1

Anton Burkov University of Waterloo

October 06, 2014

PIRSA:14100082
PHYS 781 - Lecture 6

Niayesh Afshordi University of Waterloo

October 03, 2014

PIRSA:14100061
PHYS 781 - Lecture 5

Niayesh Afshordi University of Waterloo

October 02, 2014

PIRSA:14100056
Probing (beyond) general relativity with compact binaries and gravitational waves

Leo Stein Cornell University
October 02, 2014

PIRSA:14100003
General Relativity & Quantum Cosmology
General relativity enjoys phenomenal success in agreeing with experiments and observations, but it must break down at some point. Astrophysics can give guidance for what type of theory may correct general relativity, if we know which phenomenology to look for. I will discuss the possible corrections to the structure of compact objects, the binary problem, and observations with pulsar timing and gravitational wave detection. These corrections are computed in specific effective theories, such as Einstein-dilaton-Gauss-Bonnet (EdGB) and dynamical Chern-Simons (dCS) gravity, and we may further generalize the common aspects of these theories to build a parametrized framework which captures a large number of effective field theories.
The Effective Field Theory of Cosmological Large Scale Structures

Leonardo Senatore ETH Zurich
October 02, 2014

PIRSA:14090041
Astrophysics
The Effective Filed Theory of Large Scale Structures provides a novel framework to analytically compute the clustering of the Large Scale Structures in the weakly non-linear regime in a consistent and reliable way. The theory that describes the long wavelength fluctuations is obtained after integrating out the short distance modes and adding suitable operators that allow to correctly reconstruct the effect of short distance fluctuations at long distances. A few observables have been computed so far, and the results are extremely promising. I will discuss the formalism and the main results so far.
Quantum Entanglement and Superconductivity

Subir Sachdev Harvard University
October 01, 2014

PIRSA:14100080
Condensed Matter
Einstein called it “spooky action at a distance.” Entanglement is a counterintuitive feature of quantum theory by which two particles are deeply correlated even when separated by vast distances, such that a measurement of one particle instantaneously determines the state of another. Remarkably, quantum entanglement can also happen en masse, determining the macroscopic properties of many electrons in certain crystals. These newly discovered states of matter could lead to practical high-temperature superconductors, which promise tremendous advances in technologies spanning medicine, clean energy, transportation, and more. Dr. Subir Sachdev, a leading researcher in the field, will explain new experiments in high-temperature superconductivity, and even do a live demonstration of superconducting levitation. He will even explore the unexpected new connections between these earthbound experiments and the strange quantum behaviour of black holes.
Defects: A new window into topological quantum matter

Maissam Barkeshli University of California, Santa Barbara

October 01, 2014

PIRSA:14100048

Topologically ordered states, such as the fractional quantum Hall (FQH) states, are quantum states of matter with various exotic properties, including quasiparticles with fractional quantum numbers and fractional statistics, and robust topology-dependent ground state degeneracies. In this talk, I will describe a new aspect of topological states: their extrinsic defects. These include extrinsically imposed point-like or line-like defects that couple to the topological properties of the state in non-trivial ways. The extrinsic point defects localize topologically protected "parafermion" zero modes, which generalize the notion of Majorana fermion zero modes, and provide a new direction for realizing non-Abelian quantum statistics and topological quantum computation. The line defects allow direct quantum mechanical coupling between electrons and fractionalized anyons, leading to new ways to probe fractionalization. After describing the conceptual framework, I will focus on a specific set of experimental proposals, using conventional bilayer FQH states, to detect parafermion zero modes and to directly observe the long-predicted topological ground state degeneracy of FQH states. In the end I will comment on other ways in which extrinsic defects provide a new window into fractionalization.
The Topology of Information Flow

Jamie Vicary University of Oxford

September 30, 2014

PIRSA:14090076

I will outline a new topological foundation for computation, and show how it gives rise to a unified treatment of classical encryption and quantum teleportation, and a strong classical model for many quantum phenomena. This work connects to some other interesting topics, including quantum field theory, classical combinatorics, thermodynamics, Morse theory and higher category theory, which I will introduce in an elementary way.
Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits

Eduardo Mucciolo University of Central Florida
September 30, 2014

PIRSA:14090028
Condensed Matter
We show that for a system evolving unitarily under a stochastic quantum circuit, the notions of irreversibility, universality of computation, and entanglement are closely related. As the state of the system evolves from an initial product state, it becomes increasingly entangled until entanglement reaches a maximum. We define irreversibility as the failure to find a circuit that disentangles a maximally entangled state. We show that irreversibility occurs when maximally entangled states are generated with a quantum circuit formed by gates from a universal quantum computation set. We find that irreversibility is also associated to a Wigner-Dyson statistics in the fluctuations of spacings between adjacent eigenvalues of the system’s reduced density matrix. In contrast, when the system is evolved with a non-universal set of gates, the statistics of the entanglement spacing deviates from Wigner-Dyson and the disentangling algorithm succeeds. We discuss how these findings open a new way to characterize non-integrability in quantum systems.

Title	Date	Collection	Type	Info
Computer Algebra for Theoretical Physics	2014‑10‑07		Scientific Series	View details
14/15 PSI - Conformal Field Theory- Lecture 1	2014‑10‑06	14/15 PSI - Conformal Field Theory	Course	View details
14/15 PSI - Quantum Field Theory I (A) - Lecture 1	2014‑10‑06	14/15 PSI - Quantum Field Theory	Course	View details
14/15 PSI - Statistical Mechanics - Lecture 1	2014‑10‑06	14/15 PSI - Statistical Mechanics	Course	View details
PHYS 781 - Lecture 6	2014‑10‑03	PHYS 781 - Fundamentals of Astrophysics	Course	View details
PHYS 781 - Lecture 5	2014‑10‑02	PHYS 781 - Fundamentals of Astrophysics	Course	View details
Probing (beyond) general relativity with compact binaries and gravitational waves	2014‑10‑02	Strong Gravity	Scientific Series	View details
The Effective Field Theory of Cosmological Large Scale Structures	2014‑10‑02	Cosmology and Gravitation	Scientific Series	View details
Quantum Entanglement and Superconductivity	2014‑10‑01	Public Lecture Series	Public Lectures	View details
Defects: A new window into topological quantum matter	2014‑10‑01	Colloquium	Scientific Series	View details
The Topology of Information Flow	2014‑09‑30	Quantum Foundations	Scientific Series	View details
Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits	2014‑09‑30	Quantum Matter	Scientific Series	View details

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Format results

Computer Algebra for Theoretical Physics

14/15 PSI - Conformal Field Theory- Lecture 1

14/15 PSI - Quantum Field Theory I (A) - Lecture 1

14/15 PSI - Statistical Mechanics - Lecture 1

PHYS 781 - Lecture 6

PHYS 781 - Lecture 5

Probing (beyond) general relativity with compact binaries and gravitational waves

The Effective Field Theory of Cosmological Large Scale Structures

Quantum Entanglement and Superconductivity

Defects: A new window into topological quantum matter

The Topology of Information Flow

Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits

Computer Algebra for Theoretical Physics

14/15 PSI - Conformal Field Theory- Lecture 1

14/15 PSI - Quantum Field Theory I (A) - Lecture 1

14/15 PSI - Statistical Mechanics - Lecture 1

PHYS 781 - Lecture 6

PHYS 781 - Lecture 5

Probing (beyond) general relativity with compact binaries and gravitational waves

The Effective Field Theory of Cosmological Large Scale Structures

Quantum Entanglement and Superconductivity

Defects: A new window into topological quantum matter

The Topology of Information Flow

Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits