# Hot entanglement in a simple dynamical model

@article{Scheel2002HotEI, title={Hot entanglement in a simple dynamical model}, author={S. Scheel and Jens Eisert and P. L. Knight and Martin Bodo Plenio}, journal={Journal of Modern Optics}, year={2002}, volume={50}, pages={881 - 889} }

Abstract How mixed can one component of a bi-partite system be initially and still become entangled through interaction with a thermalized partner? We address this question here. In particular, we consider the question of how mixed a two-level system and a field mode may be such that free entanglement arises in the course of the time evolution according to a Jaynes-Cummings type interaction. We investigate the situation for which the two-level system is initially in a mixed state taken from a…

## 40 Citations

### Entanglement dynamics in a non-Markovian environment: An exactly solvable model

- Physics
- 2012

We study the non-Markovian effects on the dynamics of entanglement in an exactly-solvable model that involves two independent oscillators each coupled to its own stochastic noise source. First, we…

### Exact dynamics of interacting qubits in a thermal environment: results beyond the weak coupling limit

- PhysicsNew Journal of Physics
- 2013

We demonstrate an exact mapping of a class of models of two interacting qubits in thermal reservoirs to two separate problems of spin–boson-type systems. Based on this mapping, exact numerical…

### Entanglement evolution of three-qubit mixed states in multipartite cavity?reservoir systems

- Physics
- 2012

We analyze the multipartite entanglement evolution of three-qubit mixed states composed of a GHZ state and a W state. For a composite system consisting of three cavities interacting with independent…

### Entanglement and measurement-induced nonlocality of mixed maximally entangled states in multipartite dynamics

- Physics
- 2016

The maximally entangled state can be in a mixed state as well as the well-known pure state. Taking the negativity as a measure of entanglement, we study the entanglement dynamics of bipartite, mixed…

### Temperature dependence of interaction-induced entanglement

- Physics
- 2005

Both direct and indirect weak nonresonant interactions are shown to produce entanglement between two initially disentangled systems prepared as a tensor product of thermal states, provided the…

### Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

- Physics
- 2013

We investigate the dynamics of the two-mode Jaynes-Cummings model with generalized nonlinear coupling including intrinsic noise as described by the Milburn equation. Based on a general analytic…

### Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain

- Physics
- 2005

We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero…

### On the preparation of pure states in resonant microcavities

- Physics
- 2003

Abstract We consider the time evolution of the radiation field (R) and a two-level atom (A) in a resonant microcavity in terms of the Jaynes-Cummings model with an initial general pure quantum state…

### Complementarity and Entanglement in Quantum Information Theory

- Physics
- 2004

The restrictions that nature places on the distribution of correlations in a multipartite quantum system play fundamental roles in the evolution of such systems, and yield vital insights into the…

### Energy as an entanglement witness for quantum many-body systems (15 pages)

- Physics
- 2004

We investigate quantum many-body systems where all low-energy states are entangled. As a tool for quantifying such systems, we introduce the concept of the entanglement gap, which is the difference…

## References

SHOWING 1-10 OF 20 REFERENCES

### Entanglement and the factorization-approximation

- Mathematics
- 2001

Abstract:For a bi-partite quantum system defined in a finite dimensional Hilbert-space we investigate in what sense entanglement change and interactions imply each other. For this purpose we…

### Subsystem purity as an enforcer of entanglement.

- PhysicsPhysical review letters
- 2001

It is shown that entanglement can always arise in the interaction of an arbitrarily large system in any mixed state with a single qubit in a pure state, and the time and temperature variation of a lower bound on the amount of entanglements produced is found.

### Dynamics of quantum entanglement

- Physics
- 2001

A model of discrete dynamics of entanglement of a bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying…

### Volume of the set of separable states

- Physics
- 1998

The question of how many entangled or, respectively, separable states there are in the set of all quantum states is considered. We propose a natural measure in the space of density matrices %…

### The Jaynes-Cummings Model

- Physics
- 1993

Abstract The Jaynes-Cummings model (JCM), a soluble fully quantum mechanical model of an atom in a field, was first used (in 1963) to examine the classical aspects of spontaneous emission and to…

### Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?

- Physics
- 1998

It is shown that if a mixed state can be distilled to the singlet form it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two…

### Quantum and classical correlations in quantum Brownian motion.

- PhysicsPhysical review letters
- 2002

It is shown that there exists a large class of initial states for which no entanglement will be created at all times between the system of salient interest and the environment.

### Comparison of quantum and semiclassical radiation theories with application to the beam maser

- Physics
- 1962

This paper has two purposes: 1) to clarify the relationship between the quantum theory of radiation, where the electromagnetic field-expansion coefficients satisfy commutation relations, and the…

### Nonlocal correlations are generic in infinite-dimensional bipartite systems

- Mathematics
- 2000

It was recently shown that the nonseparable density operators for a bipartite system are trace norm dense if either factor space has infinite dimension. We show here that non-local states -- i.e.,…

### Computable measure of entanglement

- Physics, Computer Science
- 2002

A measure of entanglement that can be computed effectively for any mixed state of an arbitrary bipartite system is presented and it is shown that it does not increase under local manipulations of the system.