Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity

• URL: http://arxiv.org/abs/2101.03926v1
• Date: Mon, 11 Jan 2021 14:46:39 GMT
• Title: Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Authors: Jimmy S.C. Hung, J.H. Busnaina, C.W. Sandbo Chang, A.M. Vadiraj, I. Nsanzineza, E. Solano, H. Alaeian, E. Rico, C.M. Wilson
• Abstract summary: We use a multimode superconducting parametric cavity as a hardware-efficient analog quantum simulator. We realize a lattice in synthetic dimensions with complex hopping interactions. The complex-valued hopping interaction further allows us to simulate, for instance, gauge potentials and topological models.
• Score: 5.336258422653554
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: There has been a growing interest in realizing quantum simulators for physical systems where perturbative methods are ineffective. The scalability and flexibility of circuit quantum electrodynamics (cQED) make it a promising platform to implement various types of simulators, including lattice models of strongly-coupled field theories. Here, we use a multimode superconducting parametric cavity as a hardware-efficient analog quantum simulator, realizing a lattice in synthetic dimensions with complex hopping interactions. The coupling graph, \textit{i.e.} the realized model, can be programmed \textit{in situ}. The complex-valued hopping interaction further allows us to simulate, for instance, gauge potentials and topological models. As a demonstration, we simulate a plaquette of the bosonic Creutz ladder. We characterize the lattice with scattering measurements, reconstructing the experimental Hamiltonian and observing emerging topological features. This platform can be easily extended to larger lattices and different models involving other interactions.

Related papers

• Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling [0.0]
  We propose a digital quantum simulator of a one-dimensional lattice model describing an itinerant fermionic excitation. A circuit that generates the natural initial (pre-quench) state of this system is presented.
  arXiv  Detail & Related papers  (2024-10-10T17:07:57Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment. We find sufficient conditions under which dynamical decoupling works for such systems. Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays [0.0]
  We develop a strategy to run Schwinger model dynamics on synthetic quantum spin lattices. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.
  arXiv  Detail & Related papers  (2024-09-22T17:58:25Z)
• Simulating open quantum systems with giant atoms [0.0]
  We introduce a simulator for open quantum many-body systems based on giant atoms, i.e., atoms (possibly artificial) We first show that a simulator consisting of two giant atoms can simulate the dynamics of two coupled qubits. We demonstrate and analyze the robustness of these simulation results against noise affecting the giant atoms.
  arXiv  Detail & Related papers  (2024-06-19T16:31:42Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Engineering dynamically decoupled quantum simulations with trapped ions [0.0]
  An external drive can improve the coherence of a quantum many-body system by averaging out noise sources. It can also be used to realize models that are inaccessible in the static limit. We develop the requirements needed for a pulse sequence to decouple a quantum many-body system from an external field.
  arXiv  Detail & Related papers  (2022-09-12T18:01:05Z)
• Hybridized Methods for Quantum Simulation in the Interaction Picture [69.02115180674885]
  We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations. Physical applications of these hybridized methods yield a gate complexity scaling as $log2 Lambda$ in the electric cutoff. For the general problem of Hamiltonian simulation subject to dynamical constraints, these methods yield a query complexity independent of the penalty parameter $lambda$ used to impose an energy cost.
  arXiv  Detail & Related papers  (2021-09-07T20:01:22Z)
• Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on Quantum Computers [52.77024349608834]
  We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits. We evaluate the algorithm by simulating thermal states of the transverse Ising model.
  arXiv  Detail & Related papers  (2021-03-04T18:21:00Z)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians [0.0]
  We propose a quantum simulation of a supersymmetric lattice model using atoms trapped in a 1D configuration and interacting through a Rydberg dressed potential. We provide an analytical description of the kink/skink dynamics and propose a protocol to prepare and detect these excitations in the quantum simulator.
  arXiv  Detail & Related papers  (2020-05-01T21:01:35Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.