Topological and dynamical features of periodically driven spin ladders

• URL: http://arxiv.org/abs/2012.03443v3
• Date: Thu, 3 Jun 2021 11:05:33 GMT
• Title: Topological and dynamical features of periodically driven spin ladders
• Authors: Raditya Weda Bomantara, Sen Mu, and Jiangbin Gong
• Abstract summary: We study periodically driven spin ladders as clean quasi-one-dimensional systems with spin-spin interaction in the rung direction. We find that such systems display subharmonic magnetization dynamics reminiscent to that of discrete time crystals (DTCs) at finite system sizes. Special emphasis is placed on how the coupling in the rung direction of the ladder prevents degeneracy from occurring between states differing by a single spin excitation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Studies of periodically driven one-dimensional many-body systems have advanced our understanding of complex systems and stimulated promising developments in quantum simulation. It is hence of interest to go one step further, by investigating the topological and dynamical aspects of periodically driven spin ladders as clean quasi-one-dimensional systems with spin-spin interaction in the rung direction. Specifically, we find that such systems display subharmonic magnetization dynamics reminiscent to that of discrete time crystals (DTCs) at finite system sizes. Through the use of generalized Jordan-Wigner transformation, this feature can be attributed to presence of corner Majorana $\pi$ modes (MPMs), which are of topological origin, in the systems' equivalent Majorana lattice. Special emphasis is placed on how the coupling in the rung direction of the ladder prevents degeneracy from occurring between states differing by a single spin excitation, thus preserving the MPM-induced $\pi/T$ quasienergy spacing of the Floquet eigenstates in the presence of parameter imperfection. This feature, which is absent in their strict one-dimensional counterparts, may yield fascinating consequences in future studies of higher dimensional Floquet many-body systems.

Related papers

• Coarse-grained dynamics in quantum many-body systems using the maximum entropy principle [0.46873264197900916]
  We construct an inverse map that assigns a microscopic state to a coarse-grained state based on the maximum entropy principle. We investigate two-qubit systems, with swap and controlled-not gates, and $n$-qubit systems, configured either in an Ising spin chain or with all-to-all interactions. We find that these dynamics exhibit atypical quantum behavior, such as non-linearity and non-Markovianity.
  arXiv  Detail & Related papers  (2024-07-16T17:11:14Z)
• Numerically efficient unitary evolution for Hamiltonians beyond nearest-neighbors [0.0]
  Matrix product states (MPSs) and matrix product operators (MPOs) are fundamental tools in the study of quantum many-body systems. We propose a novel approach for the direct construction of compact MPOs tailored specifically for the exponential of spin Hamiltonians.
  arXiv  Detail & Related papers  (2024-02-07T19:08:01Z)
• Critical dynamics of long-range quantum disordered systems [0.3007949058551534]
  Long-range hopping in quantum disordered systems can yield quantum multifractality. We propose a model of wave packet expansion in long-range hopping systems. Our findings are of considerable interest towards applications in the fields of many-body localization and Anderson localization on random graphs.
  arXiv  Detail & Related papers  (2023-07-03T13:25:54Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Loschmidt amplitude spectrum in dynamical quantum phase transitions [0.0]
  We study how the system behaves in the vicinity of dynamical quantum phase transitions (DQPTs) Our findings provide a better understanding of the characteristics of the out-of-equilibrium system around DQPT.
  arXiv  Detail & Related papers  (2022-03-14T10:54:31Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Spin many-body phases in standard and topological waveguide QED simulators [68.8204255655161]
  We study the many-body behaviour of quantum spin models using waveguide QED setups. We find novel many-body phases different from the ones obtained in other platforms.
  arXiv  Detail & Related papers  (2021-06-22T09:44:20Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
  We propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
  arXiv  Detail & Related papers  (2021-04-13T17:24:08Z)
• Topological edge modes without symmetry in quasiperiodically driven spin chains [0.0]
  We argue that EDSPTs are special to the quasiperiodically driven setting, and cannot arise in Floquet systems. We find evidence of a new type of boundary criticality, in which the edge spin dynamics transition from quasiperiodic to chaotic.
  arXiv  Detail & Related papers  (2020-09-07T18:00:00Z)
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
  We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
  arXiv  Detail & Related papers  (2020-06-24T07:32:51Z)

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.