Quantum Criticality and Black Holes
Abstract
I will describe the behavior of a variety of condensed matter systems in the vicinity of zero temperature quantum phase transitions. There is a remarkable analogy between the hydrodynamics of such systems and the quantum theory of black holes. I will show how insights from this analogy have shed light on recent experiments on the cuprate high temperature superconductors. Studies of new materials and trapped ultracold atoms are yielding new quantum phases, with novel forms of quantum entanglement. Some materials are of technological importance: e.g. high temperature superconductors. Exact solutions via black hole mapping have yielded first exact results for transport coefficients in interacting many-body systems, and were valuable in determining general structure of hydrodynamics. Theory of VBS order and Nernst effect in cuprates. Tabletop 'laboratories for the entire universe': quantum mechanics of black holes, quark-gluon plasma, neutrons stars, and big-bang physics.
- Authors:
-
- Harvard University, Cambridge, Massachusetts, United States
- Publication Date:
- Research Org.:
- FNAL (Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States))
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 987223
- DOE Contract Number:
- AC02-07CH11359
- Resource Type:
- Multimedia
- Resource Relation:
- Conference: Fermilab Colloquia, Fermi National Accelerator Laboratory (FNAL), Batvia, Illinois (United States), presented on August 22, 2007
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Sachdev, Subir. Quantum Criticality and Black Holes. United States: N. p., 2007.
Web.
Sachdev, Subir. Quantum Criticality and Black Holes. United States.
Sachdev, Subir. Wed .
"Quantum Criticality and Black Holes". United States. https://www.osti.gov/servlets/purl/987223.
@article{osti_987223,
title = {Quantum Criticality and Black Holes},
author = {Sachdev, Subir},
abstractNote = {I will describe the behavior of a variety of condensed matter systems in the vicinity of zero temperature quantum phase transitions. There is a remarkable analogy between the hydrodynamics of such systems and the quantum theory of black holes. I will show how insights from this analogy have shed light on recent experiments on the cuprate high temperature superconductors. Studies of new materials and trapped ultracold atoms are yielding new quantum phases, with novel forms of quantum entanglement. Some materials are of technological importance: e.g. high temperature superconductors. Exact solutions via black hole mapping have yielded first exact results for transport coefficients in interacting many-body systems, and were valuable in determining general structure of hydrodynamics. Theory of VBS order and Nernst effect in cuprates. Tabletop 'laboratories for the entire universe': quantum mechanics of black holes, quark-gluon plasma, neutrons stars, and big-bang physics.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Aug 22 00:00:00 EDT 2007},
month = {Wed Aug 22 00:00:00 EDT 2007}
}