{"product_id":"time-crystals-9783030525224","title":"Time Crystals","description":"\u003cp\u003e • Author(s): Krzysztof Sacha\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Atomic \u0026amp; Molecular\u003c\/p\u003e\u003cp\u003eI. Spontaneous formation of space crystals \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003eII. Spontaneous breaking of continuous time translation symmetry\u003c\/p\u003e \u003cp\u003eII.1 Wilczek model\u003c\/p\u003e \u003cp\u003eII.2 Lack of time crystal formation by systems in the ground states\u003c\/p\u003e \u003cp\u003eII.3 Excited eigenstates and time crystals formation\u003c\/p\u003e \u003cp\u003eII.4 Superfluid phase and Josephson oscillations and their relation to time crystals\u003c\/p\u003e \u003cp\u003eIII.Discrete time crystals\u003c\/p\u003e \u003cp\u003eIII.1 Proposals of discrete time crystals\u003c\/p\u003e \u003cp\u003eIII.1.1 Formation of discrete time crystals by atoms bouncing on an oscillating mirror\u003c\/p\u003e \u003cp\u003eIII.1.2 Formation of discrete time crystals by periodically driven spin systems\u003c\/p\u003e III.1.3 Different proposals of discrete time crystals\u003cp\u003e\u003c\/p\u003e \u003cp\u003eIII.2 Experimental realizations of discrete time crystals\u003c\/p\u003e \u003cp\u003eIV. Spontaneous formation of quasi-crystals structures in time\u003c\/p\u003e \u003cp\u003eV. Condensed matter physics in the time domain\u003c\/p\u003e \u003cp\u003eV.1 Emergence of crystalline structures in time in periodically driven systems\u003c\/p\u003e \u003cp\u003eV.2 Anderson localization in time\u003c\/p\u003e \u003cp\u003eV.3 Topological time crystals\u003c\/p\u003e \u003cp\u003eV.4 Quasi-crystals in time\u003c\/p\u003e \u003cp\u003eV.5 Many-body time crystals with exotic interactions\u003c\/p\u003e \u003cp\u003eV.6 Many-body localization induced by temporal disorder\u003c\/p\u003e \u003cp\u003eV.7 Time crystals with properties of 2D or 3D space crystals\u003c\/p\u003e \u003cp\u003eVI. Time engineering\u003c\/p\u003e VII. Time crystals in photonic materials\u003cp\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45283359555735,"sku":"9783030525224","price":10900.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783030525224.webp?v=1769304802","url":"https:\/\/atlanticbooks.com\/products\/time-crystals-9783030525224","provider":"Atlantic Books","version":"1.0","type":"link"}