General symmetry operators of the asymmetric quantum Rabi model

• URL: http://arxiv.org/abs/2107.08937v2
• Date: Wed, 11 May 2022 15:34:45 GMT
• Title: General symmetry operators of the asymmetric quantum Rabi model
• Authors: You-Fei Xie and Qing-Hu Chen
• Abstract summary: We derive symmetry operators associated with the hidden symmetry hierarchically for arbitrary multiples. The symmetry operators for small multiples in the literature can be extremely easily reproduced in our general scheme. We believe that the present approach can be straightforwardly extended to other asymmetric Rabi models to find the relevant symmetry operators.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The true level crossing in the asymmetric quantum Rabi model without any obvious symmetry can be exhibited in the energy spectrum if the qubit bias is a multiple of the cavity frequency, which should imply the existence of the hidden symmetry. In this work, within a Bogoliubov operator approach, we can readily derive the symmetry operators associated with the hidden symmetry hierarchically for arbitrary multiples. The symmetry operators for small multiples in the literature can be extremely easily reproduced in our general scheme. In addition, a general parity operator is defined through the symmetry operator, which naturally includes the well-known parity operator of the symmetric model. We believe that the present approach can be straightforwardly extended to other asymmetric Rabi models to find the relevant symmetry operators.

Related papers

• Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators [20.572965801171225]
  Recent developments have extended the discussion of symmetry and its breaking to mixed states. We propose the Wightman correlator as an alternative diagnostic tool.
  arXiv  Detail & Related papers  (2024-10-12T02:04:40Z)
• Robust Symmetry Detection via Riemannian Langevin Dynamics [39.342336146118015]
  We propose a novel symmetry detection method that marries classical symmetry detection techniques with recent advances in generative modeling. Specifically, we apply Langevin dynamics to a symmetry space to enhance robustness against noise. We provide empirical results on a variety of shapes that suggest our method is not only robust to noise, but can also identify both partial and global symmetries.
  arXiv  Detail & Related papers  (2024-09-18T02:28:20Z)
• Symmetry-restricted quantum circuits are still well-behaved [45.89137831674385]
  We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2n)$. It extends prior work on symmetric states to the operators and shows that the operator space follows the same structure as the state space.
  arXiv  Detail & Related papers  (2024-02-26T06:23:39Z)
• Asymmetry activation and its relation to coherence under permutation operation [53.64687146666141]
  A Dicke state and its decohered state are invariant for permutation. When another qubits state to each of them is attached, the whole state is not invariant for permutation, and has a certain asymmetry for permutation.
  arXiv  Detail & Related papers  (2023-11-17T03:33:40Z)
• Regularizing Towards Soft Equivariance Under Mixed Symmetries [23.603875905608565]
  We present a regularizer-based method for building a model for a dataset with mixed approximate symmetries. We show that our method achieves better accuracy than prior approaches while discovering the approximate symmetry levels correctly.
  arXiv  Detail & Related papers  (2023-06-01T05:33:41Z)
• Approximately Equivariant Networks for Imperfectly Symmetric Dynamics [24.363954435050264]
  We find that our models can outperform both baselines with no symmetry bias and baselines with overly strict symmetry in both simulated turbulence domains and real-world multi-stream jet flow.
  arXiv  Detail & Related papers  (2022-01-28T07:31:28Z)
• Symmetry operators of the asymmetric two-photon quantum Rabi model [0.0]
  The true level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) have been observed when the bias parameter of qubit is an even multiple of the renormalized cavity frequency. We propose a Bogoliubov operator approach (BOA) for the asymmetric tpQRM to derive the symmetry operators associated with the hidden symmetry hierarchically.
  arXiv  Detail & Related papers  (2021-06-10T15:34:06Z)
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model [0.0]
  We find the elusive level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) The number of the doubly degenerate crossing points in the asymmetric tpQRM is comparable to that in asymmetric one-photon QRM. The bias parameter required for occurrence of level crossings in the asymmetric tpQRM is characteristically different from that at a multiple of the cavity frequency in the asymmetric one-photon QRM.
  arXiv  Detail & Related papers  (2021-02-07T23:29:19Z)
• Quantum jump Monte Carlo simplified: Abelian symmetries [0.0]
  We show how to encode the weak symmetry in quantum dynamics of a finitely dimensional open quantum system. Our results generalize directly to the case of multiple Abelian weak symmetries.
  arXiv  Detail & Related papers  (2020-10-16T16:48:58Z)
• The hidden symmetry of the asymmetric quantum Rabi model [0.0]
  The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $epsiloninfrac12mathbbZ$ of the bias parameter $epsilon$. These level crossings are expected to be associated with some hidden symmetry of the model.
  arXiv  Detail & Related papers  (2020-10-06T05:57:35Z)
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models [0.0]
  The asymmetric quantum Rabi model (AQRM) has a broken $mathbbZ$ symmetry, with generally a non-degenerate eigenvalue spectrum. This unknown "symmetry" has thus been referred to as hidden symmetry in the literature. We show that this hidden symmetry is not limited to the AQRM, but exists in various related light-matter interaction models with an asymmetric qubit bias term.
  arXiv  Detail & Related papers  (2020-07-13T11:06:52Z)

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.