Dark-state solution and symmetries of the two-qubit multimode asymmetric quantum Rabi model

• URL: http://arxiv.org/abs/2311.00174v2
• Date: Mon, 10 Jun 2024 13:02:20 GMT
• Title: Dark-state solution and symmetries of the two-qubit multimode asymmetric quantum Rabi model
• Authors: Ze-Feng Lei, Junlong Tian, Jie Peng,
• Abstract summary: We study the two-qubit asymmetric quantum Rabi model (AQRM) and find its dark-state solution. We find symmetries related with conserved bosonic number operators, which also cause level crossings.
• Score: 6.510240597572375
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the two-qubit asymmetric quantum Rabi model (AQRM) and find its dark-state solution. Such solutions have at most one photon and constant eigenenergy in the whole coupling regime, causing level crossings in the spectrum, although there is no explicit conserved quantity except energy. We find an operator in the eigenenergy basis to label all the degeneracies with its eigenvalues, and compare it with the well-known hidden symmetry which exists when bias parameter $\epsilon$ is a multiple of half of the resonator frequency $\omega$. Extended to the multimode case, we find symmetries related with conserved bosonic number operators, which also cause level crossings. This provides a perspective for symmetry studies on generalized Rabi models.

Related papers

• Hilbert space geometry and quantum chaos [39.58317527488534]
  We consider the symmetric part of the QGT for various multi-parametric random matrix Hamiltonians. We find for a two-dimensional parameter space that, while the ergodic phase corresponds to the smooth manifold, the integrable limit marks itself as a singular geometry with a conical defect.
  arXiv  Detail & Related papers  (2024-11-18T19:00:17Z)
• 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)
• Solving the homogeneous Bethe-Salpeter equation with a quantum annealer [34.173566188833156]
  The homogeneous Bethe-Salpeter equation (hBSE) was solved for the first time by using a D-Wave quantum annealer. A broad numerical analysis of the proposed algorithms was carried out using both the proprietary simulated-anneaing package and the D-Wave Advantage 4.1 system.
  arXiv  Detail & Related papers  (2024-06-26T18:12:53Z)
• 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)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• 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)
• Symmetric distinguishability as a quantum resource [21.071072991369824]
  We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources. We study the resource theory for two different classes of free operations: $(i)$ $rmCPTP_A$, which consists of quantum channels acting only on $A$, and $(ii)$ conditional doubly (CDS) maps acting on $XA$.
  arXiv  Detail & Related papers  (2021-02-24T19:05:02Z)
• 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)
• Multiple ground-state instabilities in the anisotropic quantum Rabi model [0.0]
  We study the anisotropic variant of the quantum Rabi model with different coupling strengths of the rotating and counter-rotating wave terms. The anisotropy preserves the parity symmetry of the original model. We find analytically that the ground-state and the first excited state can cross several times.
  arXiv  Detail & Related papers  (2021-01-29T04:21:08Z)
• 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.