COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Theory of Condensed Matter > How to describe inhomogeneous quantum systems in one dimension with (conformal) field theory: lessons from non-interacting Fermi gases

## How to describe inhomogeneous quantum systems in one dimension with (conformal) field theory: lessons from non-interacting Fermi gasesAdd to your list(s) Download to your calendar using vCal - Jerome Dubail, CNRS, Institut Jean Lamour, Nancy
- Thursday 02 June 2016, 14:15-15:45
- TCM Seminar Room, Cavendish Laboratory.
If you have a question about this talk, please contact Dr G Moller. In spite of the tremendous successes of conformal field theory (CFT) in describing large-scale, universal, effects in one-dimensional (1D) systems at quantum critical points, their applicability has been limited to situations in which the bulk is uniform: CFT describes low-energy excitations around some energy scale, assumed to be constant throughout the system. However, in many experimental situations, quantum systems are strongly inhomogeneous: for instance, quantum gases in trapping potentials always have a non-uniform density; this is also true in many out-of-equilibrium situations, for instance when a gas is released from its trap. Here, we will argue that the powerful CFT approach can be adapted to deal with such 1D situations, relying on the example of lattice and continuous Fermi gases. The system’s inhomogeneity enters the field theory action through parameters that vary with position; in particular, the metric itself varies, resulting in a CFT in curved space. As an illustration, new exact formulas for entanglement entropies—-that have recently become experimentally measurable, and that are usually very difficult to calculate—-will be derived. This talk is part of the Theory of Condensed Matter series. ## This talk is included in these lists:- All Cavendish Laboratory Seminars
- All Talks (aka the CURE list)
- Centre for Health Leadership and Enterprise
- Combined TCM Seminars and TCM blackboard seminar listing
- Featured lists
- Lennard-Jones Centre external
- ME Seminar
- Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
- PMRFPS's
- School of Physical Sciences
- TCM Blackboard Series
- TCM Seminar Room, Cavendish Laboratory
- Theory of Condensed Matter
- Thin Film Magnetic Talks
- few29
Note that ex-directory lists are not shown. |
## Other listsCambridge Natural History Society Optoelectronics Group The Fitzwilliam Museum Cambridge Area Sequencing Informatics Meeting VI (2014) Cavendish Astrophysics Seminars Millennium Mathematics Project (http://maths.org)## Other talksAttentional episodes and cognitive control Borel Local Lemma CANCELLED DUE TO STRIKE ACTION Recent advances in understanding climate, glacier and river dynamics in high mountain Asia What is the History of the Book? Tunable Functional Magnetic Skyrmions at Room Temperature Player 2 has entered the game - ways of working towards open science |