Quantum emulation of the transient dynamics in the multistate Landau-Zener model
arXiv:2211.14586 · doi:10.1038/s41534-023-00731-7
Abstract
Quantum simulation is one of the most promising near term applications of quantum computing. Especially, systems with a large Hilbert space are hard to solve for classical computers and thus ideal targets for a simulation with quantum hardware. In this work, we study experimentally the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. The underlying Hamiltonian is emulated by superconducting quantum circuit, where a tunable transmon qubit is coupled to a bosonic mode ensemble comprising four lumped element microwave resonators. We investigate the model for different initial states: Due to our circuit design, we are not limited to merely exciting the qubit, but can also pump the harmonic modes via a dedicated drive line. Here, the nature of the transient dynamics depends on the average photon number in the excited resonator. The greater effective coupling strength between qubit and higher Fock states results in a quasi-adiabatic transition, where coherent quantum oscillations are suppressed without the introduction of additional loss channels. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
arXiv comment5 pages, 3 figures
References in corpus (23)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Probing many-body dynamics on a 51-atom quantum simulator
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Landau-Zener interferometry with superconducting qubits
- A coherent beam splitter for electronic spin states
- Transition times in the Landau-Zener model
- Amplitude Spectroscopy of a Solid-State Artificial Atom
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Time-resolved measurement of Landau-Zener tunneling in periodic potentials
- Landau-Zener transition in a multilevel system. An exact result
- Non-perturbative stochastic method for driven spin-boson model
- Quantum simulation of the spin-boson model with a microwave circuit
- Multifrequency spin resonance in diamond
- Universality in dissipative Landau-Zener transitions
- Landau-Zener tunnelling in dissipative circuit QED
- Towards Outperforming Classical Algorithms with Analog Quantum Simulators