# Phonon Pair Creation by Inflating Quantum Fluctuations in an Ion Trap.

@article{Wittemer2019PhononPC, title={Phonon Pair Creation by Inflating Quantum Fluctuations in an Ion Trap.}, author={Matthias Wittemer and Frederick Hakelberg and Philip Kiefer and Jan-Philipp Schr{\"o}der and Christian Fey and R. Sch{\"u}tzhold and Ulrich Warring and Tobias Schaetz}, journal={Physical review letters}, year={2019}, volume={123 18}, pages={ 180502 } }

Quantum theory predicts intriguing dynamics during drastic changes of external conditions. We switch the trapping field of two ions sufficiently fast to tear apart quantum fluctuations, i.e., create pairs of phonons and, thereby, squeeze the ions' motional state. This process can be interpreted as an experimental analog to cosmological particle creation and is accompanied by the formation of spatial entanglement. Hence, our platform allows one to study the causal connections of squeezing, pair…

## 31 Citations

### Controlled inter-site coupling in a two-dimensional ion trap array

- Physics
- 2019

The understanding of quantum mechanical systems is essential to modern physics and its applications. However, already for entangled systems of a few tens of constituents, exact numerical simulations…

### Trapped-ion toolkit for studies of quantum harmonic oscillators under extreme conditions

- PhysicsPhilosophical Transactions of the Royal Society A
- 2020

This work substantially extends classical control techniques by implementing machine-learning strategies in their platform and increases the accessible parameter regime, enabling future experiments that may yield entanglement generation using a process in analogy to Hawking radiation.

### Quantum simulation of particle creation in curved space-time

- PhysicsPloS one
- 2020

An experimental set-up consisting of two adjacent piezoelectric semiconducting layers, one of them carrying dynamic quantum dots (DQDs), and the other being p-doped with an attached gate on top, which introduces a space-dependent layer conductivity.

### Particle creation in the spin modes of a dynamically oscillating two-component Bose-Einstein condensate

- PhysicsPhysical Review D
- 2021

We investigate the parametric amplification of the zero-point fluctuations in the spin modes of a two-component Bose-Einstein condensate, triggered by the dynamical evolution of the condensate…

### Motional Squeezing for Trapped Ion Transport and Separation.

- PhysicsPhysical review letters
- 2021

A theoretical framework is developed that describes the dynamics of ions in time-varying potentials with a motional squeeze operator, followed by a Motional displacement operator, and it is shown that motional squeezing can prepare an ion wave packet to enable transfer from the ground state of one trapping potential to another.

### Analogue cosmological particle creation in an ultracold quantum fluid of light

- PhysicsNature communications
- 2022

The rapid expansion of the early universe resulted in the spontaneous production of cosmological particles from vacuum fluctuations, some of which are observable today in the cosmic microwave…

### Microcavity Polaritons for Quantum Simulation

- PhysicsAdvanced Quantum Technologies
- 2020

Quantum simulations are one of the pillars of quantum technologies. These simulations provide insight in fields as varied as high energy physics, many‐body physics, or cosmology to name only a few.…

### Inflationary dynamics and particle production in a toroidal Bose-Einstein condensate

- Physics
- 2021

We present a theoretical study of the dynamics of a Bose-Einstein condensate (BEC) trapped inside an expanding toroid that can realize an analog inflationary universe. As the system expands, we find…

### Analog of cosmological particle creation in electromagnetic waveguides

- PhysicsPhysical Review D
- 2019

Quantum field theory in curved spacetimes predicts a mechanism of pair-wise particle creation to occur in expanding universes. Although, this fundamental quantum effect has played a significant role…

### Quantum field simulator for dynamics in curved spacetime

- PhysicsNature
- 2022

In most cosmological models, rapid expansion of space marks the first moments of the Universe and leads to the amplification of quantum fluctuations1. The description of subsequent dynamics and…

## References

SHOWING 1-10 OF 72 REFERENCES

### Analogue of cosmological particle creation in an ion trap.

- PhysicsPhysical review letters
- 2007

A scheme for the detection of the analogue of cosmological particle creation which should be feasible with present day technology and to test the quantum nature of the particle creation mechanism is presented.

### Time-Resolved Observation of Thermalization in an Isolated Quantum System.

- PhysicsPhysical review letters
- 2016

This work uses trapped atomic ions forming a hybrid Coulomb crystal and exploit its phonons to study an isolated quantum system composed of a single spin coupled to an engineered bosonic environment and observes the emergence of thermalization.

### Trapped Ion Quantum Information Processing with Squeezed Phonons.

- PhysicsPhysical review letters
- 2019

This work proposes and analyzes a new strategy to enhance the coherent interactions in trapped ion systems via parametric amplification of the ions' motion-by squeezing the collective motional modes (phonons), and shows how it can enhance collective spin states useful for quantum metrology.

### Ion-trap analog of particle creation in cosmology

- PhysicsPhysical Review A
- 2018

We consider the transversal modes of ions in a linear radio frequency (rf) trap where we control the time dependent axial confinement to show that we can excite quanta of motion via a two-mode…

### Ion trap simulations of quantum fields in an expanding universe.

- PhysicsPhysical review letters
- 2005

We propose an experiment in which the phonon excitation of ion(s) in a trap, with a trap frequency exponentially modulated at rate kappa, exhibits a thermal spectrum with an "Unruh" temperature given…

### Quantum dynamics of single trapped ions

- Physics
- 2003

Single trapped ions represent elementary quantum systems that are well isolated from the environment. They can be brought nearly to rest by laser cooling, and both their internal electronic states…

### Simulating a quantum magnet with trapped ions

- Physics
- 2008

To gain deeper insight into the dynamics of complex quantum systems we need a quantum leap in computer simulations. We cannot translate quantum behaviour arising from superposition states or…

### Measurement of quantum memory effects and its fundamental limitations

- Physics
- 2018

Trapped atomic ions enable a precise quantification of the flow of information between internal and external degrees of freedom by employing a non-Markovianity measure [H.-P. Breuer et al., Phys.…

### Dynamically assisted Schwinger mechanism.

- PhysicsPhysical review letters
- 2008

Intuitively speaking, the strong electric field lowers the threshold for dynamical particle creation--or, alternatively, the fast electromagnetic field generates additional seeds for the Schwinger mechanism, which could be relevant for planned ultrahigh intensity lasers.

### Trapped-ion quantum simulator: experimental application to nonlinear interferometers.

- PhysicsPhysical review letters
- 2002

An experimentally realized set of operations on a single trapped ion is sufficient to simulate a wide class of Hamiltonians of a spin-1/2 particle in an external potential and the use of nonlinear beam splitters enhances this sensitivity compared to the standard quantum limit imposed by a linear beam splitter.