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Quantum transport in one dimension: from integrability to many-body localization and topology

Joel Moore University of California, Berkeley
April 23, 2013

PIRSA:13040125
Condensed Matter
On memory in exponentially expanding spaces

Douglas Stanford Stanford University
April 23, 2013

PIRSA:13040127
Astrophysics
12/13 PSI - Explorations in Cosmology Lecture 12

Matthew Johnson York University
April 23, 2013

PIRSA:13040077
Astrophysics
12/13 PSI - Explorations in Condensed Matter Lecture 12
- Guifre Vidal Alphabet (United States)
- Xiao-Gang Wen Massachusetts Institute of Technology (MIT) - Department of Physics
April 23, 2013

PIRSA:13040058
Condensed Matter
The continuum limit of tensor networks: a path integral representation

David Jennings Imperial College London
April 22, 2013

PIRSA:13040113
Quantum Physics
12/13 PSI - Explorations in String Theory Lecture 11

Pedro Vieira Perimeter Institute for Theoretical Physics
April 22, 2013

PIRSA:13040098
High Energy Physics
12/13 PSI - Explorations in Cosmology Lecture 11

Matthew Johnson York University
April 22, 2013

PIRSA:13040076
Astrophysics
12/13 PSI - Explorations in Condensed Matter Lecture 11
- Guifre Vidal Alphabet (United States)
- Xiao-Gang Wen Massachusetts Institute of Technology (MIT) - Department of Physics
April 22, 2013

PIRSA:13040057
Condensed Matter
12/13 PSI - Explorations in String Theory Lecture 10

Pedro Vieira Perimeter Institute for Theoretical Physics
April 19, 2013

PIRSA:13040095
High Energy Physics
12/13 PSI - Explorations in Cosmology Lecture 10

Matthew Johnson York University
April 19, 2013

PIRSA:13040073
Astrophysics
The imaginary part of the gravitational action and black hole entropy

Yasha Neiman Okinawa Institute of Science and Technology Graduate University
April 18, 2013

PIRSA:13040106
General Relativity & Quantum Cosmology
12/13 PSI - Explorations in String Theory Lecture 9

Pedro Vieira Perimeter Institute for Theoretical Physics
April 18, 2013

PIRSA:13040094
High Energy Physics

Quantum transport in one dimension: from integrability to many-body localization and topology

Joel Moore University of California, Berkeley
April 23, 2013

PIRSA:13040125
Condensed Matter
Recent advances in analytical theory and numerical methods enable some long-standing questions about transport in one dimension to be answered; these questions are closely related to transport experiments in quasi-1D compounds. The spinless fermion chain with nearest-neighbor interactions at half-filling, or equivalently the XXZ model in zero magnetic field, is an example of an integrable system in which no conventional conserved quantity forces dissipationless transport (Drude weight); we show that there is nevertheless a Drude weight and that at some points its contribution is from a new type of conserved quantity recently constructed by Prosen. Adding an integrability-breaking perturbation leads to a scaling theory of conductivity at low temperature. Adding disorder, we study the question of how Anderson localization is modified by interactions when the system remains fully quantum coherent ("many-body localization"). We find that even weak interactions are a singular perturbation on some quantities: entanglement grows slowly but without limit, suggesting that dynamics in the possible many-body localized phase are glass-like. If time permits, some results on the fractional Luttinger's theorem and the 1D limit of quantum Hall states will be presented.
On memory in exponentially expanding spaces

Douglas Stanford Stanford University
April 23, 2013

PIRSA:13040127
Astrophysics
I will present recent work, done in collaboration with Daniel Roberts, on the global memory of initial conditions that is sometimes, but not always, retained by fluctuating fields on de Sitter space, Euclidean anti de Sitter space, and regular infinite trees. I will discuss applications to the structure of configuration space in de Sitter space and eternal inflation.
12/13 PSI - Explorations in Cosmology Lecture 12

Matthew Johnson York University
April 23, 2013

PIRSA:13040077
Astrophysics
12/13 PSI - Explorations in Condensed Matter Lecture 12
- Guifre Vidal Alphabet (United States)
- Xiao-Gang Wen Massachusetts Institute of Technology (MIT) - Department of Physics
April 23, 2013

PIRSA:13040058
Condensed Matter
The continuum limit of tensor networks: a path integral representation

David Jennings Imperial College London
April 22, 2013

PIRSA:13040113
Quantum Physics
I will discuss a path-integral representation of continuum tensor networks that extends the continuous MPS class for 1-D quantum fields to arbitrary spatial dimensions while encoding desirable symmetries. The physical states can be interpreted as arising through a continuous measurement process by a lower dimensional virtual field with Lorentz symmetry. The resultant physical states naturally obey entropy area laws, with the expectation values of observables determined by the dissipative dynamics of the boundary field. The class offers the prospect of powerful new analytical and computational tools to describe the physics of strongly interacting field systems.
12/13 PSI - Explorations in String Theory Lecture 11

Pedro Vieira Perimeter Institute for Theoretical Physics
April 22, 2013

PIRSA:13040098
High Energy Physics
12/13 PSI - Explorations in Cosmology Lecture 11

Matthew Johnson York University
April 22, 2013

PIRSA:13040076
Astrophysics
12/13 PSI - Explorations in Condensed Matter Lecture 11
- Guifre Vidal Alphabet (United States)
- Xiao-Gang Wen Massachusetts Institute of Technology (MIT) - Department of Physics
April 22, 2013

PIRSA:13040057
Condensed Matter
12/13 PSI - Explorations in String Theory Lecture 10

Pedro Vieira Perimeter Institute for Theoretical Physics
April 19, 2013

PIRSA:13040095
High Energy Physics
12/13 PSI - Explorations in Cosmology Lecture 10

Matthew Johnson York University
April 19, 2013

PIRSA:13040073
Astrophysics
The imaginary part of the gravitational action and black hole entropy

Yasha Neiman Okinawa Institute of Science and Technology Graduate University
April 18, 2013

PIRSA:13040106
General Relativity & Quantum Cosmology
I present a candidate for a new derivation of black hole entropy. The key observation is that the action of General Relativity in bounded regions has an imaginary part, arising from the boundary term. The formula for this imaginary part is closely related to the Bekenstein-Hawking entropy formula, and coincides with it for certain classes of regions. This remains true in the presence of matter, and generalizes appropriately to Lovelock gravity. The imaginary part of the action is a versatile notion, requiring neither stationarity nor any knowledge about asymptotic infinity. Thus, it may provide a handle on quantum gravity in finite and dynamical regions. I derive the above results, make connections with standard approaches to black hole entropy, and speculate on the meaning of it all. Implications for loop quantum gravity are also discussed.
12/13 PSI - Explorations in String Theory Lecture 9

Pedro Vieira Perimeter Institute for Theoretical Physics
April 18, 2013

PIRSA:13040094
High Energy Physics

Title	Date	Collection	Type	Info
Quantum transport in one dimension: from integrability to many-body localization and topology	2013‑04‑23	Quantum Matter	Scientific Series	View details
On memory in exponentially expanding spaces	2013‑04‑23	Cosmology and Gravitation	Scientific Series	View details
12/13 PSI - Explorations in Cosmology Lecture 12	2013‑04‑23	12/13 PSI - Explorations in Cosmology	Course	View details
12/13 PSI - Explorations in Condensed Matter Lecture 12	2013‑04‑23	12/13 PSI - Explorations in Condensed Matter	Course	View details
The continuum limit of tensor networks: a path integral representation	2013‑04‑22	Perimeter Institute Quantum Discussions	Scientific Series	View details
12/13 PSI - Explorations in String Theory Lecture 11	2013‑04‑22	12/13 PSI - Eplorations in String Theory	Course	View details
12/13 PSI - Explorations in Cosmology Lecture 11	2013‑04‑22	12/13 PSI - Explorations in Cosmology	Course	View details
12/13 PSI - Explorations in Condensed Matter Lecture 11	2013‑04‑22	12/13 PSI - Explorations in Condensed Matter	Course	View details
12/13 PSI - Explorations in String Theory Lecture 10	2013‑04‑19	12/13 PSI - Eplorations in String Theory	Course	View details
12/13 PSI - Explorations in Cosmology Lecture 10	2013‑04‑19	12/13 PSI - Explorations in Cosmology	Course	View details
The imaginary part of the gravitational action and black hole entropy	2013‑04‑18	Quantum Gravity	Scientific Series	View details
12/13 PSI - Explorations in String Theory Lecture 9	2013‑04‑18	12/13 PSI - Eplorations in String Theory	Course	View details

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Format results

Quantum transport in one dimension: from integrability to many-body localization and topology

On memory in exponentially expanding spaces

12/13 PSI - Explorations in Cosmology Lecture 12

12/13 PSI - Explorations in Condensed Matter Lecture 12

The continuum limit of tensor networks: a path integral representation

12/13 PSI - Explorations in String Theory Lecture 11

12/13 PSI - Explorations in Cosmology Lecture 11

12/13 PSI - Explorations in Condensed Matter Lecture 11

12/13 PSI - Explorations in String Theory Lecture 10

12/13 PSI - Explorations in Cosmology Lecture 10

The imaginary part of the gravitational action and black hole entropy

12/13 PSI - Explorations in String Theory Lecture 9

Quantum transport in one dimension: from integrability to many-body localization and topology

On memory in exponentially expanding spaces

12/13 PSI - Explorations in Cosmology Lecture 12

12/13 PSI - Explorations in Condensed Matter Lecture 12

The continuum limit of tensor networks: a path integral representation

12/13 PSI - Explorations in String Theory Lecture 11

12/13 PSI - Explorations in Cosmology Lecture 11

12/13 PSI - Explorations in Condensed Matter Lecture 11

12/13 PSI - Explorations in String Theory Lecture 10

12/13 PSI - Explorations in Cosmology Lecture 10

The imaginary part of the gravitational action and black hole entropy

12/13 PSI - Explorations in String Theory Lecture 9