Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
arXiv:0801.1414 · doi:10.1209/0295-5075/82/20006
Abstract
The dynamics of a single qubit interacting by a sequence of pairwise collisions with an environment consisting of just two more qubits is analyzed. Each collision is modeled in terms of a random unitary operator with a uniform probability distribution described by the uniform Haar measure. We show that the purity of the system qubit as well as the bipartite and the tripartite entanglement reach time averaged equilibrium values characterized by large instantaneous fluctuations.These equilibrium values are independent of the order of collision among the qubits. The relaxation to equilibrium is analyzed also in terms of an ensemble average of random collision histories. Such average allows for a quantitative evaluation and interpretation of the decay constants. Furthermore a dependence of the transient dynamics on the initial degree of entanglement between the environment qubits is shown to exist. Finally the statistical properties of bipartite and tripartite entanglement are analyzed.
5 pages, 4 figures
References in corpus (20)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Distributed Entanglement
- Average Entropy of a Subsystem
- Aspects of generic entanglement
- Randomizing quantum states: Constructions and applications
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
- Superdense coding of quantum states
- Remote preparation of quantum states
- Composed ensembles of random unitary matrices
- Efficient Generation of Generic Entanglement
- Entangling power of the quantum baker's map
- All (qubit) decoherences: Complete characterization and physical implementation
- Convergence Conditions for Random Quantum Circuits
- Emergence of typical entanglement in two-party random processes
- Entanglement Generation of Nearly-Random Operators
- Decoherence of two qubit systems: A random matrix description
- Optimal two-qubit gate for generation of random bipartite entanglement
- Reversible and irreversible dynamics of a qubit interacting with a small environment
- Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
Cited by in corpus (16)
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Quantum collision models: open system dynamics from repeated interactions
- Landauer's principle in multipartite open quantum system dynamics
- Collision models in open system dynamics: A versatile tool for deeper insights?
- Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
- The multilevel four-stroke swap engine and its environment
- Temperature effects on quantum non-Markovianity via collision models
- Class of exact memory-kernel master equations
- Validity of Landauer principle and quantum memory effects via collision models
- Relaxation due to random collisions with a many-qudit environment
- Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
- Extracting work from random collisions: A model of a quantum heat engine
- Wigner entropy production and heat transport in linear quantum lattices
- Non-Markovian Toy Quantum Chain
- Structural change in multipartite entanglement sharing: a random matrix approach
- Two coupled qubits under the influence of a minimal, phase-sensitive environment