Square-root Floquet topological phases and time crystals

• URL: http://arxiv.org/abs/2111.14327v2
• Date: Wed, 24 Aug 2022 16:43:47 GMT
• Title: Square-root Floquet topological phases and time crystals
• Authors: Raditya Weda Bomantara
• Abstract summary: Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases. The resulting systems are found to yield richer physics that is otherwise absent in the original counterparts.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases, applicable both in noninteracting and interacting setting. The resulting systems are found to yield richer physics that is otherwise absent in the original counterparts and is robust against parameter imperfection. These include the emergence of Floquet topological superconductors with arbitrarily many zero, $\pi$, and $\pi/2$ edge modes, as well as $4T$-period Floquet time crystals in disordered and disorder-free systems ($T$ being the driving period). Remarkably, our approach can be repeated indefinitely to obtain a 2nth-root version of a given system, thus allowing for the discovery and systematic construction of a family of exotic Floquet phases.

Related papers

• Simultaneous symmetry breaking in spontaneous Floquet states: Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator [49.1574468325115]
  We study simultaneous symmetry-breaking in a spontaneous Floquet state, focusing on the specific case of an atomic condensate. We first describe the quantization of the Nambu-Goldstone (NG) modes for a stationary state simultaneously breaking several symmetries of the Hamiltonian. We extend the formalism to Floquet states simultaneously breaking several symmetries, where Goldstone theorem translates into the emergence of Floquet-Nambu-Goldstone modes with zero quasi-energy.
  arXiv  Detail & Related papers  (2024-02-16T16:06:08Z)
• Dynamical characterization of $Z_{2}$ Floquet topological phases via quantum quenches [4.927579219242575]
  We develop the first full and unified dynamical characterization theory for the $Z_2$ Floquet topological phases. By measuring the minimal information of Floquet bands via the stroboscopic time-averaged spin polarizations, we show that the topological spin texture patterns emerging on certain discrete momenta of Brillouin zone. Our work provides a highly feasible way to detect the $Z_2$ Floquet topology and completes the dynamical characterization for the full classes of Floquet topological phases.
  arXiv  Detail & Related papers  (2023-10-31T19:43:08Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Engineering, control and longitudinal readout of Floquet qubits [105.9098786966493]
  Time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Here, we use the framework of many-mode Floquet theory to describe approaches to robustly control Floquet qubits in the presence of multiple drive tones. Following the same approach, we introduce a longitudinal readout protocol to measure the Floquet qubit without the need of first adiabatically mapping back the Floquet states to the static qubit states.
  arXiv  Detail & Related papers  (2021-08-25T14:35:02Z)
• High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
  Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian. We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
  arXiv  Detail & Related papers  (2021-07-21T12:48:39Z)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Floquet dynamical quantum phase transitions in periodically quenched systems [0.685316573653194]
  Dynamical quantum phase transitions (DQPTs) are characterized by nonanalytic behaviors of physical observables as functions of time. In this work, we explore Floquet DQPTs in a class of periodically quenched one-dimensional system with chiral symmetry.
  arXiv  Detail & Related papers  (2020-10-31T06:19:31Z)
• Dual topological characterization of non-Hermitian Floquet phases [0.0]
  We introduce a dual scheme to characterize the topology of non-Hermitian Floquet systems in momentum space and in real space. Our results indicate that a dual characterization of non-Hermitian Floquet topological matter is necessary and also feasible.
  arXiv  Detail & Related papers  (2020-09-28T05:01:28Z)
• Tunable Fragile Topology in Floquet Systems [1.9087335681007476]
  We demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet $pi$-flux square-lattice model. In both cases, we discover a rich phase diagram that includes Floquet fragile topological phases protected by crystalline rotation or mirror symmetries.
  arXiv  Detail & Related papers  (2020-05-18T18:00:00Z)
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators [2.3978553352626064]
  We report a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. Our modeling of the time-crystalline 'ground state' can be easily realized in experimental platforms such as topological photonics and ultracold fields.
  arXiv  Detail & Related papers  (2020-05-08T09:20:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.