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Entangled multi-qubit states may be generated through a dispersive collective QND measurement of superconducting qubits coupled to a microwave transmission line resonator. Using the quantum trajectory approach, we analyze the stochastic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ferdinand Helmer , Florian Marquardt

The nonlinear interaction, due to quantum electrodynamical (QED) effects, between photons is investigated using a wave-kinetic description. Starting from a coherent wave description, we use the Wigner transform technique to obtain a set of…

Plasma Physics · Physics 2015-06-26 M. Marklund , P. K. Shukla , G. Brodin , L. Stenflo

We propose a simple scheme for the dissipative generation of entangled states of multiple emitters coupled to a waveguide. Our approach exploits collective interactions arising from the formation of subradiant and superradiant excited…

Circuit cavity quantum electrodynamics (QED) is proving to be a powerful platform to implement quantum feedback control schemes due to the ability to control superconducting qubits and microwaves in a circuit. Here, we present a simple and…

Quantum Physics · Physics 2016-04-01 Shang-Yu Huang , Hsi-Sheng Goan , Xin-Qi Li , G. J. Milburn

Understanding complex quantum dynamics in realistic materials requires insight into the underlying correlations dominating the interactions between the participating particles. Due to the wealth of information involved in these processes,…

Materials Science · Physics 2024-04-19 Adva Baratz , Galit Cohen , Sivan Refaely-Abramson

Two-level-system (TLS) defects in amorphous dielectrics are a major source of noise and decoherence in solid-state qubits. Gate-dependent non-Markovian errors caused by TLS-qubit coupling are detrimental to fault-tolerant quantum…

We investigate the out-of-equilibrium dynamics of a photo-excited charge-density-wave (CDW) state in the square-lattice Holstein model, in a setup similar to a pump-probe experiment. At half-filling, the ground state of this system is…

Strongly Correlated Electrons · Physics 2024-06-18 Lingyu Yang , Gia-Wei Chern

We study the collective decay of two-level emitters coupled to a nonlinear waveguide, for example, a nanophotonic lattice or a superconducting resonator array with strong photon-photon interactions. Under these conditions a new decay…

Quantum Physics · Physics 2020-06-01 Zhihai Wang , Tuomas Jaako , Peter Kirton , Peter Rabl

The non-Markovian dynamics of a three-level quantum system coupled to a bosonic environment is a difficult problem due to the lack of an exact dynamic equation such as a master equation. We present for the first time an exact quantum…

Quantum Physics · Physics 2010-12-27 Jun Jing , Ting Yu

In this article we reconsider a version of quantum trajectory theory based on the stochastic Schr\"odinger equation with stochastic coefficients, which was mathematically introduced in the '90s, and we develop it in order to describe the…

Quantum Physics · Physics 2012-10-30 Alberto Barchielli , Matteo Gregoratti

Delay embedding is a commonly employed technique in a wide range of data-driven model reduction methods for dynamical systems, including the Dynamic mode decomposition (DMD), the Hankel alternative view of the Koopman decomposition (HAVOK),…

Dynamical Systems · Mathematics 2023-01-12 Joar Axås , George Haller

We consider the class of dual-unitary quantum circuits in $1+1$ dimensions and introduce a notion of ``solvable'' matrix product states (MPSs), defined by a specific condition which allows us to tackle their time evolution analytically. We…

Statistical Mechanics · Physics 2020-03-17 Lorenzo Piroli , Bruno Bertini , J. Ignacio Cirac , Tomaz Prosen

Simulation methods based on stochastic realizations of state vector evolutions are commonly used tools to solve open quantum system dynamics, both in the Markovian and non-Markovian regime. Here, we address the question of waiting time…

Quantum Physics · Physics 2012-09-10 Kimmo Luoma , Kari Härkönen , Sabrina Maniscalco , Kalle-Antti Suominen , Jyrki Piilo

We report the first ab initio, non-relativistic QED method that couples light and matter self-consistently beyond the electric dipole approximation and without multipolar truncations. This method is based on an extension of the…

This research focuses on solving time-dependent partial differential equations (PDEs), in particular the time-dependent Schr\"odinger equation, using matrix product states (MPS). We propose an extension of Hermite Distributed Approximating…

Quantum Physics · Physics 2026-03-18 Jorge Gidi , Paula García-Molina , Luca Tagliacozzo , Juan José García-Ripoll

Bound states arise in waveguide QED systems with a strong frequency-dependence of the coupling between emitters and photonic modes. While exciting such bound-states with single photon wave-packets is not possible, photon-photon interactions…

Quantum Physics · Physics 2021-07-14 Rahul Trivedi , Daniel Malz , Shanhui Fan , Jelena Vuckovic

We consider the problem of modeling a single qubit in contact with a one-dimensional waveguide beyond the standard perturbative and Markovian approximations. Using the recently developed input-output hierarchical equations of motion…

Quantum Physics · Physics 2026-05-21 Neill Lambert , Yi-Te Huang , Yueh-Nan Chen , Paul Menczel , Franco Nori

Common wisdom says that the entanglement of fermionic systems can be low in the second quantization formalism but is extremely large in the first quantization. Hence Matrix Product State (MPS) methods based on moderate entanglement have…

Quantum Physics · Physics 2026-03-31 Jheng-Wei Li , Xavier Waintal

Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian…

Quantum Physics · Physics 2025-01-23 Xiang Li , Su-Xiang Lyu , Yao Wang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum…

Quantum Physics · Physics 2023-07-12 Edwin Ng , Ryotatsu Yanagimoto , Marc Jankowski , M. M. Fejer , Hideo Mabuchi