University of Minnesota
Dynamics of mobile impurities in one-dimensional quantum liquids.
Degree: PhD, Physics, 2014, University of Minnesota
We study the dynamics of mobile impurities in a one-dimensional quantum liquid. Due to singular scattering with low-energy excitations of the host liquid, the impurity spectral properties become strongly renormalized even at weak coupling. This leads to universal phenomena with no higher-dimensional counterparts, such as lattice-free Bloch oscillations, power-law threshold behavior in the impurity spectral function and a quantum phase transition as the impurity mass exceeds a critical value. The additional possibility of integrability in one-dimension leads to the absence of thermal viscosity at special points in parameter space. The vanishing of the phonon-mediated Casimir interaction between separate impurities can be understood on the same footing. We explore these remarkable phenomena by developing an effective low-energy theory that identifies the proper collective coordinates of the dressed impurity, and their coupling to the low-energy excitations of the host liquid. The main appeal of our approach lies in its ability to describe a dynamic response using effective parameters which obey exact thermodynamic relations. The latter may be extracted using powerful numerical or analytical techniques available in one-dimension, yielding asymptotically exact results for the low-energy impurity dynamics.
Subjects/Keywords: 1d quantum liquids; Bloch oscillations; Mobile impurity; Non-equilibrium transport; Superfluidity; Ultracold atoms; Physics
to Zotero / EndNote / Reference
APA (6th Edition):
Schecter, M. (2014). Dynamics of mobile impurities in one-dimensional quantum liquids. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/167460
Chicago Manual of Style (16th Edition):
Schecter, Michael. “Dynamics of mobile impurities in one-dimensional quantum liquids.” 2014. Doctoral Dissertation, University of Minnesota. Accessed July 15, 2019.
MLA Handbook (7th Edition):
Schecter, Michael. “Dynamics of mobile impurities in one-dimensional quantum liquids.” 2014. Web. 15 Jul 2019.
Schecter M. Dynamics of mobile impurities in one-dimensional quantum liquids. [Internet] [Doctoral dissertation]. University of Minnesota; 2014. [cited 2019 Jul 15].
Available from: http://hdl.handle.net/11299/167460.
Council of Science Editors:
Schecter M. Dynamics of mobile impurities in one-dimensional quantum liquids. [Doctoral Dissertation]. University of Minnesota; 2014. Available from: http://hdl.handle.net/11299/167460