Symmetries Created by Random Interactions- Ultimacy of "More Is Different"

• URL: http://arxiv.org/abs/2005.06403v1
• Date: Wed, 13 May 2020 16:15:53 GMT
• Title: Symmetries Created by Random Interactions- Ultimacy of "More Is Different"
• Authors: Takaharu Otsuka and Noritaka Shimizu
• Abstract summary: The dominance of the 0+ ground state for random interactions is shown to be a consequence of certain random interactions with chaotic features. These random interactions impart a symmetry property to the ground-state wave function: an isotropy under an appropriate transformation. A possible relation to the isotropy of the early universe is mentioned.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dominance (preponderance) of the 0+ ground state for random interactions is shown to be a consequence of certain random interactions with chaotic features. These random interactions, called chaotic random interactions, impart a symmetry property to the ground-state wave function: an isotropy under an appropriate transformation, such as zero angular momentum for rotation. Under this mechanism, the ground-state parity and isospin can also be predicted in such a manner that positive parity is favored over negative parity and the isospin T = 0 is favored over higher isospins. As chaotic random interaction is a limit with no particular dynamics at the level of two interacting particles, this realization of isotropic symmetry in the ground state can be considered as the ultimate case of many-body correlations. A possible relation to the isotropy of the early universe is mentioned.

Related papers

• Contact interactions, self-adjoint extensions, and low-energy scattering [0.0]
  We show that the one-dimensional scattering problem is surprisingly intricate. We show that the families of self-adjoint extensions correspond to a coupled system of symmetric and antisymmetric outgoing waves. As an application, the spectrum of a general point interaction with a harmonic trap is solved in one dimension.
  arXiv  Detail & Related papers  (2024-03-22T15:39:56Z)
• Enhanced strong interaction effect in synthetic spin-orbit coupling with mixed spin symmetry [0.0]
  In systems of two pseudo-spin degrees, two particles contain symmetric states and anti-symmetric states, but the spin symmetry can be mixed for more particles. We study the role of mixed spin symmetry in the presence of spin-orbit coupling. In contrast to two-particle systems, the pair correlation of the ground state is analogous to the Tonks-Girardeau gas even for relatively small contact interactions.
  arXiv  Detail & Related papers  (2024-03-11T22:02:19Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• 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)
• Entanglement statistics of randomly interacting spins [62.997667081978825]
  Entanglement depends on the underlying topology of the interaction among the qubits. We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions.
  arXiv  Detail & Related papers  (2023-07-18T23:58:32Z)
• Anisotropic signatures in the spin-boson model [0.0]
  Thermal equilibrium properties of nanoscale systems deviate from standard macroscopic predictions due to a non-negligible coupling to the environment. For anisotropic three-dimensional materials, we derive the mean force corrections to the equilibrium state of a classical spin vector. Some coupling symmetries show a spin alignment transition at zero temperature.
  arXiv  Detail & Related papers  (2023-05-26T14:19:21Z)
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array [1.0885320386898631]
  Spontaneous symmetry breaking underlies much of our classification of phases of matter and their associated transitions. In this work, we realize a two-dimensional dipolar XY model - which exhibits a continuous spin-rotational symmetry. We demonstrate the adiabatic preparation of correlated low-temperature states of both the XY ferromagnet and the XY antiferromagnet.
  arXiv  Detail & Related papers  (2022-07-26T14:35:07Z)
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions [68.8204255655161]
  It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity. It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
  arXiv  Detail & Related papers  (2021-12-31T15:09:48Z)
• The bound-state solutions of the one-dimensional pseudoharmonic oscillator [0.0]
  We study the bound states of a quantum mechanical system governed by a constant $alpha$. For attractive potentials within the range $-1/4leqalpha0$, there is an even-parity ground state with increasingly negative energy. We show how the regularized excited states approach their unregularized counterparts.
  arXiv  Detail & Related papers  (2021-11-24T23:03:10Z)
• Collective spontaneous emission of two entangled atoms near an oscillating mirror [50.591267188664666]
  We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state. Using time-dependent theory, we investigate the spectrum of the radiation emitted by the two-atom system. We show that it is modulated in time, and that the presence of the oscillating mirror can enhance or inhibit the decay rate.
  arXiv  Detail & Related papers  (2020-10-07T06:48:20Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.