scholarly journals Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids

2020 ◽  
Vol 101 (10) ◽  
Author(s):  
Aleksandra Petković
2006 ◽  
Vol 20 (30n31) ◽  
pp. 5047-5056
Author(s):  
V. APAJA ◽  
E. KROTSCHECK ◽  
A. RIMNAC ◽  
R. E. ZILLICH

In this work, we study transport currents in excited states. This requires the calculation of particle currents [Formula: see text] to second order in the excitation amplitudes. For that purpose, we take a well-tested microscopic theory of inhomogeneous quantum liquids and extend it to find the mass currents created when atoms scatter off a surface or when excitations evaporate atoms. This is the first theoretical study of transport phenomena in a quantum liquid based on a quantitative microscopic theory.


2002 ◽  
Vol 71 (8) ◽  
pp. 1947-1955 ◽  
Author(s):  
Satoshi Miyashita ◽  
Akira Kawaguchi ◽  
Norio Kawakami

1999 ◽  
Vol 13 (05n06) ◽  
pp. 579-594
Author(s):  
E. KROTSCHECK

The present status of the microscopic understanding of quantum liquids is reviewed. We take a conservative approach and focus thoroughly on two examples: the neutral quantum liquids 4 He and 3 He . The first part of this contribution reviews the present state of the microscopic theory of these systems. Results of both simulation methods and semi-analytic theories are discussed and compared. Quantum liquids in non-uniform geometries lead, due to symmetry breaking, to a number of new and interesting effects and also to new experimental possibilities and theoretical challenges. Finally, we highlight a number of yet open problems where present microscopic approaches have so far been unsuccessful.


2014 ◽  
Vol 29 (18) ◽  
pp. 1450101
Author(s):  
M. A. Braun

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frequencies with the aim to see if the effects depend on the form of interaction with the reservoir. A simple case of the one-dimensional dielectric between two metallic plates is considered. Two possible models are investigated, the direct interaction of the electromagnetic field with the reservoir and indirect interaction via an intermediate oscillator imitating the atom. It is found that with the same dielectric constant the Casimir effect is different in these two cases, which implies that in the second model it cannot be entirely expressed via the dielectric constant as in the well-known Lifshitz formula.


2012 ◽  
Vol 108 (20) ◽  
Author(s):  
M. Schecter ◽  
A. Kamenev ◽  
D. M. Gangardt ◽  
A. Lamacraft

2012 ◽  
Vol 327 (3) ◽  
pp. 639-670 ◽  
Author(s):  
M. Schecter ◽  
D.M. Gangardt ◽  
A. Kamenev

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