Time Crystals
Gebonden Engels 2020 9783030525224Samenvatting
This book provides the first comprehensive description of time crystals which have a repeating structure in time. It introduces the fundamental concepts behind time crystals and explores the many different branches of this new research area.
The book starts with the original idea of the time crystallization in quantum systems as introduced by Wilczek and follows the development of the field up to the present day. Both spontaneous formation of crystalline structures in time and concepts of the condensed matter physics in the time domain, ranging from Anderson localization in time to many-body systems with exotic interactions, are described. The prospect of creation of novel objects by means of time engineering is also presented.
The book assumes knowledge of quantum mechanics to the graduate level. It serves as a valuable reference with pointers to future research directions for graduate students and senior scientists alike.
Specificaties
Lezersrecensies
Inhoudsopgave
<p>II. Spontaneous breaking of continuous time translation symmetry</p>
<p>II.1 Wilczek model</p>
<p>II.2 Lack of time crystal formation by systems in the ground states</p>
<p>II.3 Excited eigenstates and time crystals formation</p>
<p>II.4 Superfluid phase and Josephson oscillations and their relation to time crystals</p>
<p>III.Discrete time crystals</p>
<p>III.1 Proposals of discrete time crystals</p>
<p>III.1.1 Formation of discrete time crystals by atoms bouncing on an oscillating mirror</p>
<p>III.1.2 Formation of discrete time crystals by periodically driven spin systems</p>
III.1.3 Different proposals of discrete time crystals<p></p>
<p>III.2 Experimental realizations of discrete time crystals</p>
<p>IV. Spontaneous formation of quasi-crystals structures in time</p>
<p>V. Condensed matter physics in the time domain</p>
<p>V.1 Emergence of crystalline structures in time in periodically driven systems</p>
<p>V.2 Anderson localization in time</p>
<p>V.3 Topological time crystals</p>
<p>V.4 Quasi-crystals in time</p>
<p>V.5 Many-body time crystals with exotic interactions</p>
<p>V.6 Many-body localization induced by temporal disorder</p>
<p>V.7 Time crystals with properties of 2D or 3D space crystals</p>
<p>VI. Time engineering</p>
VII. Time crystals in photonic materials<p></p>
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