Squeezing Quantum States in Three-Dimensional Twisted Crystals

• URL: http://arxiv.org/abs/2409.16602v1
• Date: Wed, 25 Sep 2024 04:01:01 GMT
• Title: Squeezing Quantum States in Three-Dimensional Twisted Crystals
• Authors: Vo Tien Phong, Kason Kunkelmann, Christophe De Beule, Mohammed M. Al Ezzi, Robert-Jan Slager, Shaffique Adam, E. J. Mele,
• Abstract summary: A fundamental idea in wave mechanics is that propagation in a periodic medium can be described by Bloch waves whose conserved crystal momenta define their transformations when displaced by the set of discrete lattice translations. In ordered materials where incommensurate spatial periods compete, this general principle is rendered ineffective, often with dramatic consequences. Examples are crystals with broken symmetries from charge or spin density waves, quasiperiodic lattices that produce diffraction patterns with crystallographically forbidden point symmetries, and stacks of two-dimensional lattices with a relative rotation (twist) between layers.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A fundamental idea in wave mechanics is that propagation in a periodic medium can be described by Bloch waves whose conserved crystal momenta define their transformations when displaced by the set of discrete lattice translations. In ordered materials where incommensurate spatial periods compete, this general principle is rendered ineffective, often with dramatic consequences. Examples are crystals with broken symmetries from charge or spin density waves, quasiperiodic lattices that produce diffraction patterns with crystallographically forbidden point symmetries, and stacks of two-dimensional lattices with a relative rotation (twist) between layers. In special cases when there is a small difference between the competing periods, a useful work-around is a continuum description where a periodic long-wavelength field produces Bragg scattering that coherently mixes short-wavelength carrier waves. In this work, we advocate an alternative approach to study three-dimensional twisted crystals that replaces their spectrally congested momentum-space Bloch band structures with a representation using squeezed coherent states in a Fock space of free-particle vortex states. This reorganization of the Hilbert space highlights the crucial role of the Coriolis force in the equations of motion that leads to unconventional phase space dynamics and edge state structure generic to a family of complex crystals.

Related papers

• Observation of a time crystal comb in a driven-dissipative system with Rydberg gas [2.4898174182192974]
  Time crystals manifest as stable and periodic behavior that breaks time translation symmetry. In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time crystalline order in an unprecedented way. We report the observation of a time crystal comb in the continuously driven-dissipative and strongly interacting Rydberg thermal gas.
  arXiv  Detail & Related papers  (2024-02-20T16:09:29Z)
• Radiative transport in a periodic structure with band crossings [52.24960876753079]
  We derive the semi-classical model for the Schr"odinger equation in arbitrary spatial dimensions. We consider both deterministic and random scenarios. As a specific application, we deduce the effective dynamics of a wave packet in graphene with randomness.
  arXiv  Detail & Related papers  (2024-02-09T23:34:32Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Casimir force in discrete scalar fields I: 1D and 2D cases [0.0]
  We calculate the Casimir force between parallel plates for a massless scalar field. Time is treated as continuous while the scalar field forms a spatial periodic lattice. The dispersion relation for both square and triangular lattices accurately reproduces the subtle Casimir effect.
  arXiv  Detail & Related papers  (2023-06-26T14:54:31Z)
• Dissipative time crystal in a strongly interacting Rydberg gas [14.07614057267722]
  We report the experimental observation of such dissipative time crystalline order in a room-temperature atomic gas. The observed limit cycles arise from the coexistence and competition between distinct Rydberg components. The nondecaying autocorrelation of the oscillation, together with the robustness against temporal noises, indicate the establishment of true long-range temporal order.
  arXiv  Detail & Related papers  (2023-05-31T17:44:32Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Topological space-time crystal [1.0152838128195467]
  We introduce a new class of out-of-equilibrium noninteracting topological phases, the topological space-time crystals. These are time-dependent quantum systems which do not have discrete spatial translation symmetries, but instead are invariant under discrete space-time translations.
  arXiv  Detail & Related papers  (2022-01-10T19:00:02Z)
• 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)
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry [0.0]
  We show that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. Our work has important implications for the dynamics of 2D charged particles in a strong magnetic field.
  arXiv  Detail & Related papers  (2021-05-14T17:53:37Z)
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion [57.860179997051915]
  We propose and experimentally realize all-optical synthetic dimensions involving specially tailored simultaneous short- and long-range interactions. We implement a synthetic gauge field with nonzero magnetic flux and observe the associated multidimensional dynamics of frequency combs.
  arXiv  Detail & Related papers  (2020-02-20T07:08:35Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

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.