Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics

DOI10.1063/1.5002689zbMath1372.81102arXiv1702.03649OpenAlexW3102408153MaRDI QIDQ5368661

Savannah Garmon, Kazuki Kanki, Tomio Petrosky, Satoshi Tanaka

Publication date: 10 October 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03649

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (5)

Swanson Hamiltonian: non-PT-symmetry phase ⋮ Jordan blocks and the Bethe ansatz. I: The eclectic spin chain as a limit ⋮ Loschmidt Echo and Fidelity Decay Near an Exceptional Point ⋮ Dynamics of finite dimensional non-hermitian systems with indefinite metric ⋮ Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter

Cites Work

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• Information geometry of complex Hamiltonians and exceptional points
• Unified theory of nuclear reactions
• Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility
• A unified theory of nuclear reactions. II
• Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states
• Non-divergent representation of a non-Hermitian operator near the exceptional point with application to a quantum Lorentz gas
• Time-reversal symmetric resolution of unity without background integrals in open quantum systems
• Consistency of PT-symmetric quantum mechanics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Non-Hermitian Quantum Mechanics
• DOUBLE RESONANCES AND JORDAN BLOCK SPECTRA
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Signatures of three coalescing eigenfunctions
• A Theory of Clothed Unstable Particles
• Chirality of wavefunctions for three coalescing levels
• A non-Hermitian Hamilton operator and the physics of open quantum systems
• Gamow vectors for degenerate scattering resonances
• Gamow-Jordan vectors and non-reducible density operators from higher-order S-matrix poles
• Generalized PT symmetry and real spectra
• The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry
• The physics of exceptional points
• Exceptional points for parameter estimation in open quantum systems: analysis of the Bloch equations
• Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
• On the effect of exceptional points in the Liouvillian dynamics of a 1D quantum Lorentz gas
• Projective Hilbert space structures at exceptional points

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