Overcoming the No-Go Theorem Yields a Rich Dissipative Phase Diagram in the Open Quantum Rabi Model

• URL: http://arxiv.org/abs/2601.09414v1
• Date: Wed, 14 Jan 2026 12:07:24 GMT
• Title: Overcoming the No-Go Theorem Yields a Rich Dissipative Phase Diagram in the Open Quantum Rabi Model
• Abstract summary: The explicit $mathbfA2$ term is incorporated as required by the Thomas-Reich-Kuhn sum rule.<n>Anisotropy provides a generic and robust mechanism for overcoming the no-go theorem in dissipative quantum systems.
• Score: 2.7930955543692817
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The open quantum Rabi model is studied in this work, with the explicit $\mathbf{A}^{2}$ term incorporated as required by the Thomas-Reich-Kuhn sum rule. It is shown that anisotropy provides a generic and robust mechanism for overcoming the no-go theorem in dissipative quantum systems, thereby establishing a genuine platform for observing dissipative phase transitions. The inclusion of the $\mathbf{A}^{2}$ term yields a significantly richer and asymmetric steady-state phase diagram, consisting of normal, superradiant, and bistable phases that intersect at tricritical points, while isolated bistable phases also emerge and the number of tricritical points is reduced. Notably, it is near the intersection of the two critical-line branches enclosing the superradiant phases, rather than at the tricritical points, that the $\mathbf{A}^{2}$ term fundamentally alters the scaling of photon-number fluctuations. Given the inherent role of the $\mathbf{A}^{2}$ term in light-matter interactions, our findings open a realistic route toward the experimental investigation and dynamical control of nonequilibrium critical phenomena in practical open quantum platforms.

Related papers

• Unconventional Quantum Criticality in Long-Range Spin-1 Chains: Insights from Entanglement Entropy and Bipartite Fluctuations [1.7785452483505753]
  We resolve the continuous quantum phase transition between the gapped Haldane phase at large $$ and a gapless antiferromagnetically ordered Néel phase at small $$.<n>From finite-size scaling and crossing point analyses, we determine the critical point to be at $_c = 2.48(2)$ and extract the associated critical exponents.<n>We further analyze the scaling of entanglement entropy and bipartite fluctuations across the transition, and determine the corresponding universal scalings in both phases and at criticality.
  arXiv  Detail & Related papers  (2026-04-22T17:57:08Z)
• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model [4.7111093200120475]
  We present a comprehensive theoretical framework for quantum criticality in the non-Hermitian detuned PXP model.<n>We construct an exact second-order phase transition boundary through a similarity transformation in the real-energy regime.<n>We identify the location of the Yang-Lee edge (YLES) using both the associated-biorthogonal and self-normal Loschmidt echoes.
  arXiv  Detail & Related papers  (2025-10-15T14:15:39Z)
• The Kerr-Induced Superradiant Tricritical Point [0.0]
  We prove that genuine tricriticality is an isolated phenomenon, emerging only at a single, mathematically exact dissipation rate.<n>Our discovery pinpoints the precise and restrictive conditions for realizing a rare multicritical point in a foundational quantum optical system.
  arXiv  Detail & Related papers  (2025-09-03T20:36:40Z)
• Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy [30.342686040430962]
  Superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model.<n>We show two distinct types of SRPTs emerging from the normal phase in the anisotropic quantum Rabi model.
  arXiv  Detail & Related papers  (2024-12-11T11:33:29Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• 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)
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-Andr\'{e}-Harper model [0.5937476291232802]
  We investigate scaling properties near the quantum critical point in the Aubry-Andr'e-Harper model with p-wave pairing. We find that the spectrum averaged entanglement entropy and the generalized fidelity susceptibility act as eminent universal order parameters of the corresponding critical point.
  arXiv  Detail & Related papers  (2022-10-13T05:10:43Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• Resilience of the superradiant phase against $\mathbf {A^2}$ effects in the quantum Rabi dimer [0.0]
  We study the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. We find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong $mathbfA2$ terms. Our work provides a way to the study of phase transitions in presence of the $mathbfA2$ terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.
  arXiv  Detail & Related papers  (2020-03-03T04:14:13Z)

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.