# Photon-number entangled states generated in Kerr media with optical parametric pumping

@article{KowalewskaKudlaszyk2011PhotonnumberES, title={Photon-number entangled states generated in Kerr media with optical parametric pumping}, author={Anna Kowalewska-Kudlaszyk and Wieslaw Leo'nski and Jan Pevrina}, journal={Physical Review A}, year={2011}, volume={83}, pages={052326} }

Two nonlinear Kerr oscillators mutually coupled by parametric pumping are studied as a source of states entangled in photon numbers. Temporal evolution of entanglement quantified by negativity shows the effects of sudden death and birth of entanglement. Entanglement is preserved even in asymptotic states under certain conditions. The role of reservoirs at finite temperature in entanglement evolution is elucidated. Relation between generation of entangled states and violation of Cauchy-Schwartz…

## 45 Citations

### Exploration of photon-number entangled states using weak nonlinearities.

- PhysicsOptics express
- 2015

It is suggested that the maximal phase shift induced in the process of interaction between photons is proportional to photon numbers and in the absence of decoherence maximum error probability is analyzed.

### Stationary quantum correlation and coherence of two-mode Kerr nonlinear coupler interdicting with Su(2)-system under intrinsic damping

- PhysicsJournal of Modern Optics
- 2018

ABSTRACT A two-level atom interacting with two nonlinear Kerr oscillators pumped by an optical parametric process is studied. An analytical solution for the dynamical evolution of an interaction…

### Nonlinear coupler operating on Werner-like states—entanglement creation, its enhancement, and preservation

- Physics
- 2014

We discuss a model of two nonlinear Kerr-like oscillators, mutually coupled and excited by parametric process. We show that the system’s evolution, starting from Werner-like states, remains closed…

### Kicked nonlinear quantum scissors and entanglement generation

- Physics
- 2014

We consider a nonlinear coupler with two Kerr-like oscillators mutually coupled by continuous linear interaction and excited by a series of ultrashort external pulses. We show that the system behaves…

### Bipartite entanglement within the framework of real and ideal lasers

- Physics
- 2012

We study the nonlocal correlations and quantum entanglement for two deformed bosonic fields of arbitrary deformation parameters, q1 and q2, prepared in an entanglement of deformed coherent states. As…

### Entanglement of a nonlinear two two-level atoms interacting with deformed fields in Kerr medium

- Physics
- 2017

In this paper we investigate the entanglement dynamics between two two-level atoms interacting with two coherent fields in two spatially separated cavities which are filled with a Kerr-like medium.…

### Entanglement in a nonlinear coupler: the cross-action effect

- Physics
- 2013

Three models of Kerr nonlinear couplers are considered as a source of maximally entangled states. The nonlinear properties of the medium are described by both self- and cross-coupling terms, and it…

### Generalized Bell states generation in a parametrically excited nonlinear coupler

- Physics
- 2012

A nonlinear Kerr-like coupler with parametric interaction is considered. It is shown that such a system can be treated as nonlinear quantum scissors enabling the generation of generalized Bell…

### Quantum Fisher information flow and entanglement in pair coherent states

- Physics
- 2014

Realistic quantum systems are the main part of quantum information technology, which causes the rapid destruction of crucial quantum properties. Therefore, the unavoidable interaction between quantum…

### Enhancement of the entanglement generation via randomly perturbed series of external pulses in a nonlinear Bose–Hubbard dimer

- PhysicsNonlinear Dynamics
- 2019

We discuss a model of a short Bose–Hubbard dimer involving two anharmonic quantum oscillators mutually coupled with the use of the linear interaction and additionally driven by a series of…

## References

SHOWING 1-10 OF 61 REFERENCES

### Sudden death and birth of entanglement effects for Kerr-nonlinear coupler

- Physics
- 2009

We analyze the entanglement dynamics in a nonlinear Kerr-like coupler interacting with external environment. Whenever the reservoir is in a thermal vacuum state, the entanglement (measured by…

### Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers

- Physics
- 2006

Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear…

### Bright entanglement in the intracavity nonlinear coupler

- Physics
- 2006

We show that the intracavity Kerr nonlinear coupler is a potential source of bright continuous variable entangled light beams which are tunable and spatially separated. We use a linearized…

### Dark periods and revivals of entanglement in a two-qubit system

- Physics
- 2006

In a recent paper Yu and Eberly [Phys. Rev. Lett. 93, 140404 (2004)] have shown that two initially entangled and afterward not interacting qubits can become completely disentangled in a finite time.…

### Disentanglement in a two-qubit system subjected to dissipation environments

- Physics
- 2007

We investigate the time evolution of entanglement of various entangled states of a two-qubit system exposed to either thermal or squeezed reservoirs. We show that, except for the vacuum reservoir,…

### Optical-fiber source of polarization-entangled photons in the 1550 nm telecom band.

- PhysicsPhysical review letters
- 2005

A fiber-based source of polarization-entangled photons that is well suited for quantum communication applications in the 1550 nm band of standard fiber-optic telecommunications is presented and violations of the Clauser-Horne-Shimony-Holt form of Bell's inequality are demonstrated.

### Squeezing in the Kerr nonlinear coupler via phase-space representation

- Physics
- 2000

Quantum-statistical properties of light propagating in a coupler with third order nonlinearity are investigated. The stochastic equations describing the dynamics of the system are derived in…

### Finite-dimensional states and entanglement generation for a nonlinear coupler

- Physics
- 2006

We discuss a system comprising two nonlinear (Kerr-like) oscillators coupled mutually by a nonlinear interaction. The system is excited by an external coherent field that is resonant to the frequency…