scholarly journals Thomas-Fermi Model in the Presence of Natural Cutoffs

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Kourosh Nozari ◽  
Z. Haghani ◽  
J. Vahedi

It has been revealed, in the context of quantum gravity candidates, that measurement of position cannot be done with arbitrary precision and there is a finite resolution of space-time points. This leads naturally to a minimal measurable length of the order of Planck length. Also, in the context of newly proposed doubly special relativity theories, a test particle’s momentum cannot be arbitrarily imprecise leading nontrivially to a maximal momentum for a test particle. These two natural cutoffs affects most of quantum field theoretic arguments in the spirit of condensed matter physics. Here we focus on the role of these natural cutoffs on Thomas-Fermi theory in condensed matter physics. We show how quantum gravity effects can play important role phenomenologically in many-body interactions of solids.

Author(s):  
Benjamin Doyon

These are lecture notes for a series of lectures given at the Les Houches Summer School on Integrability in Atomic and Condensed Matter Physics, 30 July to 24 August 2018. The same series of lectures has also been given at the Tokyo Institute of Technology, October 2019. I overview in a pedagogical fashion the main aspects of the theory of generalised hydrodynamics, a hydrodynamic theory for quantum and classical many-body integrable systems. Only very basic knowledge of hydrodynamics and integrable systems is assumed.


2014 ◽  
Vol 28 (26) ◽  
pp. 1430017 ◽  
Author(s):  
Bernd Wolf ◽  
Andreas Honecker ◽  
Walter Hofstetter ◽  
Ulrich Tutsch ◽  
Michael Lang

This article reviews some recent developments for new cooling technologies in the fields of condensed matter physics and cold gases, both from an experimental and theoretical point of view. The main idea is to make use of distinct many-body interactions of the system to be cooled which can be some cooling stage or the material of interest itself, as is the case in ultracold gases. For condensed matter systems, we discuss magnetic cooling schemes based on a large magnetocaloric effect as a result of a nearby quantum phase transition and consider effects of geometrical frustration. For ultracold gases, we review many-body cooling techniques, such as spin-gradient and Pomeranchuk cooling, which can be applied in the presence of an optical lattice. We compare the cooling performance of these new techniques with that of conventional approaches and discuss state-of-the-art applications.


2016 ◽  
Vol 17 (8) ◽  
pp. 808-835 ◽  
Author(s):  
Karyn Le Hur ◽  
Loïc Henriet ◽  
Alexandru Petrescu ◽  
Kirill Plekhanov ◽  
Guillaume Roux ◽  
...  

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