Weyl Josephson Circuits
- URL: http://arxiv.org/abs/2008.13758v1
- Date: Mon, 31 Aug 2020 17:24:41 GMT
- Title: Weyl Josephson Circuits
- Authors: Valla Fatemi, Anton R. Akhmerov, Landry Bretheau
- Abstract summary: We introduce Weyl Josephson circuits: small Josephson junction circuits that simulate Weyl band structures.
We first formulate a general approach to design circuits that are analogous to Bloch Hamiltonians of a desired dimensionality and symmetry class.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce Weyl Josephson circuits: small Josephson junction circuits that
simulate Weyl band structures. We first formulate a general approach to design
circuits that are analogous to Bloch Hamiltonians of a desired dimensionality
and symmetry class. We then construct and analyze a six-junction device that
produces a 3D Weyl Hamiltonian with broken inversion symmetry and in which
topological phase transitions can be triggered \emph{in situ}. We argue that
currently available superconducting circuit technology allows experiments that
probe topological properties inaccessible in condensed matter systems.
Related papers
- Circuit Quantisation from First Principles [0.0]
We introduce the BCS ground-space as a subspace of the full fermionic Hilbert space.
We show that projecting the electronic Hamiltonian onto this subspace yields the standard Hamiltonian terms for junctions, capacitors and inductors.
arXiv Detail & Related papers (2024-11-19T05:21:56Z) - Enumeration of all superconducting circuits up to 5 nodes [0.46873264197900916]
Superconducting circuits can be used as amplifiers, transducers, and qubits.
We seek to catalog this design space by enumerating all superconducting circuits built of capacitors, inductors, and Josephson junctions.
arXiv Detail & Related papers (2024-10-24T07:35:23Z) - Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit [0.0]
We show that a superconducting circuit with three Josephson tunnel junctions in parallel can possess degeneracies indicative of nontrivial topology.
Measurements show that devices fabricated in different topological regimes fall on a simple phase diagram which should be robust to junction imperfections and geometric inductance.
arXiv Detail & Related papers (2024-01-19T18:40:30Z) - Flux-charge symmetric theory of superconducting circuits [0.0]
We present a theory of circuit quantization that treats charges and flux on a manifestly symmetric footing.
For planar circuits, known circuit dualities are a natural canonical transformation on the classical phase space.
We discuss the extent to which such circuit dualities generalize to non-planar circuits.
arXiv Detail & Related papers (2024-01-16T18:18:52Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware.
We present an algorithm that compresses the Trotter steps into a single block of quantum gates.
This results in a fixed depth time evolution for certain classes of Hamiltonians.
arXiv Detail & Related papers (2021-08-06T19:38:01Z) - Machine Learning S-Wave Scattering Phase Shifts Bypassing the Radial
Schr\"odinger Equation [77.34726150561087]
We present a proof of concept machine learning model resting on a convolutional neural network capable to yield accurate scattering s-wave phase shifts.
We discuss how the Hamiltonian can serve as a guiding principle in the construction of a physically-motivated descriptor.
arXiv Detail & Related papers (2021-06-25T17:25:38Z) - Stoquasticity in circuit QED [78.980148137396]
We show that scalable sign-problem free path integral Monte Carlo simulations can typically be performed for such systems.
We corroborate the recent finding that an effective, non-stoquastic qubit Hamiltonian can emerge in a system of capacitively coupled flux qubits.
arXiv Detail & Related papers (2020-11-02T16:41:28Z) - Quantum anomalous Hall phase in synthetic bilayers via twistless
twistronics [58.720142291102135]
We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions.
We show that our system exhibits topologicalband structures under appropriate conditions.
arXiv Detail & Related papers (2020-08-06T19:58:05Z) - A superconducting circuit realization of combinatorial gauge symmetry [0.0]
We propose a superconducting quantum circuit based on a general principle -- gauge symmetry -- designed to emulate topologically-ordered quantum liquids.
A key feature of the exact gauge symmetry is that amplitudes connecting different $mathbb Z$ loop states arise from paths having zero classical energy cost.
arXiv Detail & Related papers (2020-06-17T18:00:02Z) - Hardware-Encoding Grid States in a Non-Reciprocal Superconducting
Circuit [62.997667081978825]
We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code.
We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction.
arXiv Detail & Related papers (2020-02-18T16:45:09Z)
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.