PIRSA:12030067 Scientific Series Condensed Matter

DOI10.48660/12030067

Series: Quantum Matter

Di Ventra, M. (2012). Fundamental Aspects of Transport in Condensed Matter and Atomic Physics. Perimeter Institute. https://pirsa.org/12030067

Di Ventra, Massimiliano. Fundamental Aspects of Transport in Condensed Matter and Atomic Physics. Perimeter Institute, Mar. 30, 2012, https://pirsa.org/12030067 

@misc{ pirsa_PIRSA:12030067,
  doi = {10.48660/12030067},
  url = {https://pirsa.org/12030067},
  author = {Di Ventra, Massimiliano},
  keywords = {Condensed Matter},
  language = {en},
  title = {Fundamental Aspects of Transport in Condensed Matter and Atomic Physics},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {mar},
  note = {PIRSA:12030067 see, \url{https://pirsa.org}}
}

Abstract

I will discuss some of the most basic questions in fermionic and bosonic transport, such as the conditions for the existence of a steady-state current, its uniqueness, the role of interactions and spin statistics, its entanglement entropy, etc. This will lead me to introduce an alternative viewpoint to conduction - the micro-canonical formalism of transport - which is ideal to study the above issues [1]. I will point out the similarities and differences with the widely used Landauer formalism, and advance a series of predictions that can be verified by loading ultra-cold atoms into artificial optical lattices.

[1] M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, 2008).

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