Closed-System Solution of the 1D Atom from Collision Model

Abstract

Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g. quantum energetics and thermodynamics, and guiding towards possible application in the fields of quantum computation and communication. We consider a two-level atom (qubit) coupled to the continuum of travelling modes of a field confined in a one-dimensional waveguide. Originally, we treat the light-matter ensemble as a closed, isolated system. We solve its dynamics using a collision model where individual temporal modes of the field locally interact with the qubit in a sequential fashion. This approach allows us to obtain the total wavefunction of the qubit-field system, at any time, when the field starts in a coherent or a single-photon state. Our method is general and can be applied to other initial field states.

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Cited by in corpus (10)

• Multipartite correlations in quantum collision models
• Anomalous energy exchanges and Wigner function negativities in a single qubit gate
• A tensor network approach to sensing quantum light-matter interactions
• Energy-efficient quantum non-demolition measurement with a spin-photon interface
• Directional emission and photon bunching from a qubit pair in waveguide
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Single photons versus coherent state input in waveguide quantum electrodynamics: light scattering, Kerr and cross-Kerr effect
• Queued quantum collision models
• Fundamental mechanisms of energy exchanges in autonomous measurements based on dispersive qubit-light interaction
• Towards practical secure delegated quantum computing with semi-classical light