Robust topological feature against non-Hermiticity in Jaynes-Cummings Model

Abstract

The Jaynes-Cummings Model (JCM) is a fundamental model and building block for light-matter interactions, quantum information and quantum computation. We analytically analyze the topological feature manifested by the JCM in the presence of non-Hermiticity which may be effectively induced by dissipation and decay rates. Indeed, the eigenstates of the JCM are topologically characterized by spin windings in two-dimensional plane. The non-Hermiticity tilts the spin winding plane and induces out-of-plane component, while the topological feature is maintained. In particular, besides the invariant spin texture nodes, we find a non-Hermiticity-induced reversal transition of the tilting angle and spin winding direction with a fractional phase gain at gap closing, a partially level-independent reversal transition without gap closing, and a completely level-independent super invariant point with untilted angle and also without gap closing. Our result demonstrates that the topological feature is robust against non-Hermiticity, which would be favorable in practical applications. On the other hand, one may conversely make use of the disadvantageous dissipation and decay rates to reverse the spin winding direction, which might add a control way for topological manipulation of quantum systems in light-matter interactions.

15 pages, 5 figures

References in corpus (28)

• Making Sense of Non-Hermitian Hamiltonians
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Microwave photonics with superconducting quantum circuits
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Distinguishing a Majorana zero mode using spin resolved measurements
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Robustness of a perturbed topological phase
• The quantum Rabi model: solution and dynamics
• First order character and observable signatures of topological quantum phase transitions
• Some remarks on 'superradiant' phase transitions in light-matter systems
• Dissipation-induced nonreciprocal magnon blockade in a magnon-based hybrid system
• Integrability vs exact solvability in the quantum Rabi and Dicke models
• Electronic materials with nanoscale curved geometries
• Fate of photon blockade in the deep strong coupling regime
• Analytical method of spectra calculations in the Bargmann representation
• Exact real-time dynamics of the quantum Rabi model
• Universality classes of topological phase transitions with higher-order band crossing
• An exactly solvable system from quantum optics
• Understanding the quantum Rabi ring using analogies to quantum magnetism
• Measurement of spin Chern numbers in quantum simulated topological insulators
• Scalable $W$-type entanglement resource in neutral-atom arrays with Rydberg-dressed resonant dipole-dipole interaction
• Simulating Anisotropic quantum Rabi model via frequency modulation
• Mean photon number dependent variational method to the Rabi model
• Quantum topology in the ultrastrong coupling regime
• Robust topological state against magnetic impurities observed in superconductor PbTaSe2