عنوان

Classical analogies in the solution of quantum many-body problems /

(Number (ISBN

3030004880

(Number (ISBN

9783030004880

Erroneous ISBN

3030004872

Erroneous ISBN

9783030004873

Title Proper

Classical analogies in the solution of quantum many-body problems /

General Material Designation

[Book]

First Statement of Responsibility

Aydın Cem Keser.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

1 online resource (110 pages)

Series Title

Springer Theses

Text of Note

"Doctoral thesis accepted by University of Maryland, College Park, MD, USA."

Text of Note

Includes bibliographical references.

Text of Note

Chapter1. Introduction -- Chapter2. Long Range p-Wave Proximity Effect into a Disordered Metal -- Chapter3. Analogue Stochastic Gravity in Strongly Interacting Bose-Einstein Condensates -- Chapter4. Dynamical Many-Body Localization in an Integrable Model -- Chapter5. Conclusions.

0

Text of Note

This book addresses problems in three main developments in modern condensed matter physics - namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids - by employing fruitful analogies from classical mechanics. This strategy has led to tangible results, firstly in superconducting nanowires: the density of states, a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook-level classical point particle problem. Secondly, in localization theory even the simplest toy models that exhibit many-body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many-body localization in terms of quantum rotors that have incommensurate rotation frequencies, an exactly solvable system. Finally, the fluctuations in a strongly interacting Bose condensate and superfluid, a notoriously difficult system to analyze from first principles, are shown to mimic stochastic fluctuations of space-time due to quantum fields. This analogy not only allows for the computation of physical properties of the fluctuations in an elegant way, it sheds light on the nature of space-time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030004880

Title

Classical Analogies in the Solution of Quantum Many-Body Problems.

International Standard Book Number

9783030004873

Many-body problem.

Classical Mechanics.

Mathematical Methods in Physics.

Mathematical Physics.

Quantum Gases and Condensates.

Strongly Correlated Systems, Superconductivity.

Atomic & molecular physics.

Classical mechanics.

Many-body problem.

Mathematical physics.

SCIENCE-- Energy.

SCIENCE-- Mechanics-- General.

SCIENCE-- Physics-- General.

Semi-conductors & super-conductors.

SCI-- 024000

SCI-- 041000

SCI-- 055000

TJFD

TJFD5

Number

Edition

Class number

Keser, Aydın Cem.

Date of Transaction

20200823071835.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y