Observation of Fast Evolution in Parity-Time-Symmetric System

Abstract

To find and realize the optimal evolution between two states is significant both in theory and application. In quantum mechanics, the minimal evolution is bounded by the gap between the largest and smallest eigenvalue of the Hamiltonian. In the parity-time-symmetric(PT-symmetric) Hamiltonian theory, it was predicted that the optimized evolution time can be reduced drastically comparing to the bound in the Hermitian case, and can become even zero. In this Letter, we report the experimental observation of the fast evolution of a PT-symmetric Hamiltonian in an nuclear magnetic resonance (NMR) quantum system. The experimental results demonstrate that the PT-symmetric Hamiltonian can indeed evolve much faster than that in a quantum system, and time it takes can be arbitrary close to zero.

13 pages, 5 figures

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Cited by in corpus (59)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Observation of PT phase transition in a simple mechanical system
• Local PT symmetry violates the no-signaling principle
• Twofold Transition in PT-Symmetric Coupled Oscillators
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• The non-Hermitian Swanson model with a time-dependent metric
• Parity-time symmetry breaking in magnetic systems
• PT-symmetric quantum field theory in D dimensions
• Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor
• Experimental observation of information flow in the anti-$\mathcal{P}\mathcal{T}$-symmetric system
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
• Experimental simulation of the Parity-Time-symmetric dynamics using photonics qubits
• PT-symmetric quantum state discrimination
• Experimental realization of the Yang-Baxter Equation via NMR interferometry
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Toward Heisenberg Scaling in Non-Hermitian Metrology at the Quantum Regime
• Stable States with Non-Zero Entropy under Broken $\mathcal{P}\mathcal{T}$-Symmetry
• Non-inertial quantum clock frames lead to non-Hermitian dynamics
• Towards perturbative renormalization of ${\varphi }^2(i\varphi {)}^{\epsilon }$ quantum field theory
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Behavior of eigenvalues in a region of broken-PT symmetry
• Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Dynamics of finite dimensional non-hermitian systems with indefinite metric
• Quantum Metric Unveils Defect Freezing in 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
• Experimentally-realizable $\mathcal{P}\mathcal{T}$ phase transitions in reflectionless quantum scattering
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Observing a Changing Hilbert-Space Inner Product
• Observables in non-Hermitian systems: A methodological comparison
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
• Generalized gauge transformation with $PT$-symmetric non-unitary operator and classical correspondence of non-Hermitian Hamiltonian for a periodically driven system
• Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• $\mathcal{P}\mathcal{T}$-Symmetry in Hartree-Fock Theory
• Nonuniqueness of the C operator in PT-symmetric quantum mechanics
• Time invariant $\mathcal{P}\mathcal{T}$-product and phase locking in $\mathcal{P}\mathcal{T}$-symmetric lattice models
• An introductory review on resource theories of generalized nonclassical light
• Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Analytic approximation for eigenvalues of a class of $\mathcal{P}\mathcal{T}$ symmetric Hamiltonians
• A New Boson realization of Fusion Polynomial Algebras in Non-Hermitian Quantum Mechanics : $\gamma$-deformed $su(2)$ generators, Partial $\mathcal{P}\mathcal{T}$-symmetry and Higgs algebra
• PT-Symmetric Model of Immune Response
• Entanglement between uncoupled modes with time-dependent complex frequencies
• $\mathcal{P}\mathcal{T}$-Symmetric Quantum Discrimination of Three States
• Thermodynamic properties of non-Hermitian Nambu--Jona-Lasinio models
• Understanding Partial PT symmetry as weighted composition conjugation in Reproducing Kernel Hilbert Space :An application to non-hermitian Bose-Hubbard type Hamiltonian in Fock space
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Enhancement of sensitivity near exceptional points in dissipative qubit-resonator systems
• $\mathcal{P}\mathcal{T}$-Symmetric Quantum State Discrimination for Attack on BB84 Quantum Key Distribution
• Balancing gain and loss in symmetrised multi-well potentials
• A Geometric Quantum Speed Limit: Theoretical Insights and Photonic Implementation
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry