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Time Crystals and Space Crystals: Strongly Correlated Phases of Matter with Space-Time Symmetries

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서명/저자사항Time Crystals and Space Crystals: Strongly Correlated Phases of Matter with Space-Time Symmetries.
개인저자Else, Dominic Victor.
단체저자명University of California, Santa Barbara. Physics.
발행사항[S.l.]: University of California, Santa Barbara., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항225 p.
기본자료 저록Dissertation Abstracts International 80-02B(E).
Dissertation Abstract International
ISBN9780438417441
학위논문주기Thesis (Ph.D.)--University of California, Santa Barbara, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 80-02(E), Section: B.
Adviser: Chetan Nayak.
요약This 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
요약A 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
요약We 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
요약We 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
요약Next, 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
요약In 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
요약Finally, 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
일반주제명Condensed matter physics.
Physics.
언어영어
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