Controlling decoherence via \(\mathcal{PT}\)-symmetric non-Hermitian open quantum systems

DOI10.1016/j.physleta.2019.125931zbMath1477.81053arXiv1907.11088OpenAlexW2971989860MaRDI QIDQ2232583

Sanjib Dey, Aswathy Raj, Sandeep K. Goyal

Publication date: 6 October 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11088

zbMATH Keywords

decoherenceopen quantum systemsquantum entanglementnon-Hermitian Hamiltonians\(\mathcal{PT}\)-symmetry

Mathematics Subject Classification ID

Quantum optics (81V80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum coherence, entanglement, quantum correlations (81P40) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Bosonic systems in quantum theory (81V73)

Related Items (5)

Local preservation of no-signaling in multiparty PT-symmetric evolutions ⋮ Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks ⋮ Quantum electrodynamics in photonic crystals and controllability of ionization energy of atoms ⋮ Effective entanglement recovery via operators ⋮ Quantum thermodynamics aspects with a thermal reservoir based on PT -symmetric Hamiltonians

Cites Work

• Unnamed Item
• Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Complex Extension of Quantum Mechanics
• 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
• Milne quantization for non-Hermitian systems
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics

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