Impossibility of bosonic autonomous entanglement engines in the weak-coupling limit
arXiv:2212.13309 · doi:10.1103/PhysRevA.108.032209
Abstract
Entanglement is a fundamental feature of quantum physics and a key resource for quantum communication, computing and sensing. Entangled states are fragile and maintaining coherence is a central challenge in quantum information processing. Nevertheless, entanglement can be generated and stabilised through dissipative processes. In fact, entanglement has been shown to exist in the steady state of certain interacting quantum systems subject solely to incoherent coupling to thermal baths. This has been demonstrated in a range of bi- and multipartite settings using systems of finite dimension. Here we focus on the steady state of infinite-dimensional bosonic systems. Specifically, we consider any set of bosonic modes undergoing excitation-number-preserving interactions of arbitrary strength and divided between an arbitrary number of parties that each couple weakly to thermal baths at different temperatures. We show that a unique steady state is always separable.
arXiv comment9 pages, 1 figure
References in corpus (37)
- Quantum entanglement
- Advances in Quantum Metrology
- Gaussian Quantum Information
- Quantum Communication
- Advances in Quantum Cryptography
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Quantum computation over continuous variables
- Open Quantum Systems. An Introduction
- Preparation of Entangled States by Quantum Markov Processes
- On the impossibility of distilling Gaussian states with Gaussian operations
- The characterization of Gaussian operations and Distillation of Gaussian States
- Cavity Loss Induced Generation of Entangled Atoms
- Creation of Entanglement by Interaction with a Common Heat Bath
- Bound entangled Gaussian states
- Gaussian transformations and distillation of entangled Gaussian states
- Environment Induced Entanglement in Markovian Dissipative Dynamics
- Entanglement induced by a single-mode heat environment
- Entangled light from white noise
- A No-Go Theorem for Gaussian Quantum Error Correction
- Markovian master equations for quantum thermal machines: local vs global approach
- Entanglement Trapping in Structured Environments
- The entangling power of passive optical elements
- Autonomous quantum thermal machine for generating steady-state entanglement
- Steady state entanglement in open and noisy quantum systems at high temperature
- Nonequilibrium thermal entanglement
- Creation and protection of entanglement in systems out of thermal equilibrium
- Autonomous multipartite entanglement engines
- Steady entanglement out of thermal equilibrium
- Heralded generation of maximal entanglement in any dimension via incoherent coupling to thermal baths
- Mediated Homogenization
- Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
- Entanglement and its dynamics in open, dissipative systems
- Entanglement in stationary nonequilibrium states at high energies
- Improving autonomous thermal entanglement generation using a common reservoir
- Operational nonclassicality in minimal autonomous thermal machines
- Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit
- Engineering entanglement between resonators by hot environment