scispace - formally typeset
Open AccessJournal ArticleDOI

Spectroscopic signatures of localization with interacting photons in superconducting qubits

TLDR
This work introduces a many-body spectroscopy technique based on a chain of superconducting qubits to study quantum phases of matter and introduces disorder to study the statistics of the energy levels of the system as it undergoes the transition from a thermalized to a localized phase.
Abstract
Quantized eigenenergies and their associated wave functions provide extensive information for predicting the physics of quantum many-body systems. Using a chain of nine superconducting qubits, we implement a technique for resolving the energy levels of interacting photons. We benchmark this method by capturing the main features of the intricate energy spectrum predicted for two-dimensional electrons in a magnetic field—the Hofstadter butterfly. We introduce disorder to study the statistics of the energy levels of the system as it undergoes the transition from a thermalized to a localized phase. Our work introduces a many-body spectroscopy technique to study quantum phases of matter.

read more

Citations
More filters
Journal ArticleDOI

Topological Photonics

TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
Journal ArticleDOI

Colloquium: Many-body localization, thermalization, and entanglement

TL;DR: Theoretically, many-body localized (MBL) systems exhibit a new kind of robust integrability: an extensive set of quasilocal integrals of motion emerges, which provides an intuitive explanation of the breakdown of thermalization as mentioned in this paper.
Journal ArticleDOI

Circuit quantum electrodynamics

TL;DR: The field of circuit quantum electrodynamics (QED) as discussed by the authors was initiated by Josephson-junction-based superconducting circuits and has become an independent and thriving field of research in its own right.
Journal ArticleDOI

Programmable quantum simulations of spin systems with trapped ions

TL;DR: Monroe et al. as discussed by the authors used a laser-cooled and trapped atomic ions for the simulation of interacting quantum spin models, where effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with near-perfect efficiency using state-dependent fluorescence techniques.
Journal ArticleDOI

Nonlinear topological photonics

TL;DR: In this paper, the authors introduce the emerging field of nonlinear topological photonics and highlight the recent developments in bridging the physics of topological phases with nonlinear optics.
References
More filters
Journal ArticleDOI

Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions

TL;DR: In this paper, it was shown that the conductance of disordered electronic systems depends on their length scale in a universal manner, and asymptotic forms for the scaling function were obtained for both two-dimensional and three-dimensional systems.
Journal ArticleDOI

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields

TL;DR: In this paper, an effective single-band Hamiltonian representing a crystal electron in a uniform magnetic field is constructed from the tight-binding form of a Bloch band by replacing the operator of the Schr\"odinger equation with a matrix method, and the graph of the spectrum over a wide range of "rational" fields is plotted.
Journal ArticleDOI

Characterization of chaotic quantum spectra and universality of level fluctuation laws

TL;DR: In this article, it was found that the level fluctuations of the quantum Sinai's billiard are consistent with the predictions of the Gaussian orthogonal ensemble of random matrices.
Journal ArticleDOI

Many-Body Localization and Thermalization in Quantum Statistical Mechanics

TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.
Journal ArticleDOI

Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states

TL;DR: In this paper, it was shown that in the absence of coupling of the electrons to any external bath dc electrical conductivity exactly vanishes as long as the temperature T does not exceed some finite value Tc.
Related Papers (5)