Correlations break homogenization
arXiv:2105.11176 · doi:10.1103/PhysRevA.104.032217
Abstract
The standard collisional model paradigm consists of a system that interacts sequentially with identically prepared ancillas. After infinitely many collisions, and under appropriate conditions, the system may converge to the same state as the ancillas. This process, known as homogenization, is independent of the ancilla initial state, being a property only of the underlying dynamics. In this paper we extend this idea to locally identical, but globally correlated, ancillas, and show that correlations break homogenization. This is done numerically using a minimal qubit model, and analytically using an exactly soluble Gaussian model. In both cases, we use Hamiltonian graph states with cyclic graphs as the prototypical method for building scalable many-body entangled ancillary states.
arXiv commentComments are welcome
References in corpus (52)
- Non-Markovian dynamics in open quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Multi-party entanglement in graph states
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Thermodynamic Cycles and quantum heat engines
- Fundamental limitations for quantum and nano thermodynamics
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Quantum Computing with Continuous-Variable Clusters
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- Reconciliation of quantum local master equations with thermodynamics
- Reversible transformations from pure to mixed states, and the unique measure of information
- Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- Graphical calculus for Gaussian pure states
- Collision-model-based approach to non-Markovian quantum dynamics
- The thermodynamic cost of driving quantum systems by their boundaries
- Strong coupling corrections in quantum thermodynamics
- Collision model for non-Markovian quantum dynamics
- Optimal refrigerator
- Composite quantum collision models
- Collisional quantum thermometry
- Qubit models of weak continuous measurements
- Simulation of indivisible qubit channels in collision models
- Non-Markovianity and System-Environment Correlations in a microscopic collision model
- System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
- Divisibility of quantum dynamical maps and collision models
- Fluctuation Relation for Quantum Heat Engines and Refrigerators
- Environmental correlations and Markovian to non-Markovian transitions in collisional models
- Efficiency fluctuations of a quantum Otto engine
- Non-Markovianity, coherence and system-environment correlations in a long-range collision model
- The Structure of Quantum Stochastic Processes with Finite Markov Order
- An out-of-equilibrium non-Markovian Quantum Heat Engine
- The multilevel four-stroke swap engine and its environment
- Temperature effects on quantum non-Markovianity via collision models
- Quantum machines powered by correlated baths
- Stroboscopic two-stroke quantum heat engines
- A quantum non-Markovian collision model: incoherent swap case
- Non-Markovianity in a collision model with environmental block
- Experimental assessment of entropy production in a continuously measured mechanical resonator
- Quantifying genuine multipartite correlations and their pattern complexity
- Precursors of non-Markovianity
- Coarse graining a non-Markovian collisional model
- Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
- Gapped Two-Body Hamiltonian for continuous-variable quantum computation
- Surpassing the Thermal Cramer-Rao Bound with Collisional Thermometry
- Efficiency of a cyclic quantum heat engine with finite-size baths
- Memory kernel and divisibility of Gaussian Collisional Models
- Quantum master equations for entangled qubit environments
- Quantum Critical Probing and Simulation of Colored Quantum Noise
- Hidden qubit cluster states