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020 ▼a 9780438417441
035 ▼a (MiAaPQ)AAI10830395
035 ▼a (MiAaPQ)ucsb:13975
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 530
1001 ▼a Else, Dominic Victor.
24510 ▼a Time Crystals and Space Crystals: Strongly Correlated Phases of Matter with Space-Time Symmetries.
260 ▼a [S.l.]: ▼b University of California, Santa Barbara., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 225 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-02(E), Section: B.
500 ▼a Adviser: Chetan Nayak.
5021 ▼a Thesis (Ph.D.)--University of California, Santa Barbara, 2018.
520 ▼a This thesis is concerned with phases of matter, one of the central notions in condensed matter physics. Traditionally, condensed matter physics has been concerned with phases of matter in thermal equilibrium, which means it is coupled to a heat
520 ▼a A main interest of this thesis will be Floquet systems, which are systems that are periodically driven, for example by a time-oscillatory electric field. In this thesis, we will identify and charcterize phases of matter occuring in Floquet syste
520 ▼a We introduce a "Floquet equivalence principle", which states that Floquet topological phases with symmetry G are in one-to-one correspondence with stationary topological phases with additional symmetry. This allows us to leverage the existing li
520 ▼a We then turn to spontaneous symmetry-breaking phases. We show that in Floquet systems, there is a striking new kind of such phase: the Floquet time crystal, in which the symmetry that is spontaneously broken is discrete time-translation symmetr
520 ▼a Next, we show that both Floquet time crystals and Floquet topological phases can be stabilized even without disorder. We establish a new scenario for "pre-thermalization", a phenomenon where the eventual thermalization of the system takes place
520 ▼a In a slight digression, we then develop a systematic theory of stationary topological phases with discrete spatial symmetries (as opposed to the discrete temporal symmetry characterizing Floquet phases), showing that they also satisfy a "crystal
520 ▼a Finally, we put the Floquet equivalence principle on a systematic footing, and unify it with the crystalline equivalence principle for stationary topological phases, by invoking a powerful homotopy-theoretic viewpoint on phases of matter. The en
590 ▼a School code: 0035.
650 4 ▼a Condensed matter physics.
650 4 ▼a Physics.
690 ▼a 0611
690 ▼a 0605
71020 ▼a University of California, Santa Barbara. ▼b Physics.
7730 ▼t Dissertation Abstracts International ▼g 80-02B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0035
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999427 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033