Enhanced quantum sensing in time-modulated non-Hermitian systems
arXiv:2503.16217 · doi:10.1016/j.cjph.2025.11.022
Abstract
Enhancing the sensitivity of quantum sensing near an exceptional point represents a significant phenomenon in non-Hermitian (NH) systems. However, the application of this property in time-modulated NH systems remains largely unexplored. In this work, we propose two theoretical schemes to achieve enhanced quantum sensing in time-modulated NH systems by leveraging the coalescence of eigenvalues and eigenstates. We conduct a comprehensive analysis of the full energy spectrum, including both real and imaginary components, the population distribution of eigenstates, and various characteristics associated with optimal conditions for sensitivity enhancement. Numerical simulations confirm that eigenvalue-based quantum sensors exhibit a 9.21-fold improvement compared to conventional Hermitian sensors, aligning with the performance of existing time-independent NH sensors. Conversely, for eigenstate-based quantum sensors, the enhancement reaches up to 50 times that of conventional Hermitian sensors, surpassing the results of existing time-independent NH sensors. Moreover, the eigenstate-based sensor exhibits divergent susceptibility even when not close to an exceptional point. Our findings pave the way for advanced sensing in time-sensitive contexts, thereby complementing existing efforts aimed at harnessing the unique properties of open systems.
15 pages, 10 figures
References in corpus (32)
- Quantum sensing
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- The physics of exceptional points
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Enhanced sensitivity operation of an optical gyroscope near an exceptional point
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Observation of parity-time symmetry breaking in a single spin system
- Dynamically encircling exceptional points: Exact evolution and polarization state conversion
- Quantum Noise Theory of Exceptional Point Sensors
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Observation of critical phenomena in parity-time-symmetric quantum dynamics
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Exceptional Points in Atomic Spectra
- Observation of Chiral State Transfer Without Encircling an Exceptional Point
- Non-Hermitian engineering of terahertz light using exceptional points in electrically tuneable collective light-matter interactions
- Quantum sensing with a single-qubit pseudo-Hermitian system
- Quantum squeezing and sensing with pseudo anti-parity-time symmetry
- Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
- Resolving the topology of encircling multiple exceptional points
- Encircling exceptional points as a non-Hermitian extension of rapid adiabatic passage
- Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
- Quantum integrated sensing and communication via entanglement
- Coherent control techniques in three-level quantum sensing
- Encircling the Liouvillian exceptional points: a brief review
- Chiral Bell-state transfer via dissipative Liouvillian dynamics
- Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
- Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
- Quantum state discrimination in a PT-symmetric system
- Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
- Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems