Minimizing time-dilation in ion traps — Towards an optical clock with Coulomb crystals

2012 ◽  
Author(s):  
Tanja E. Mehlstaubler ◽  
Karsten Pyka ◽  
Jonas Keller ◽  
Norbert Herschbach ◽  
David-M. Meier ◽  
...  
Keyword(s):  
Ion Traps ◽  
Time Dilation ◽  
Optical Clock ◽  
Coulomb Crystals

scholarly journals Probing Time Dilation in Coulomb Crystals in a High-Precision Ion Trap

2019 ◽  
Vol 11 (1) ◽  
Author(s):  
J. Keller ◽  
D. Kalincev ◽  
T. Burgermeister ◽  
A. P. Kulosa ◽  
A. Didier ◽  
...  
Keyword(s):  
High Precision ◽  
Ion Trap ◽  
Time Dilation ◽  
Coulomb Crystals

scholarly journals Linear Paul trap design for an optical clock with Coulomb crystals

2011 ◽  
Vol 107 (4) ◽  
pp. 891-906 ◽  
Author(s):  
N. Herschbach ◽  
K. Pyka ◽  
J. Keller ◽  
T. E. Mehlstäubler
Keyword(s):  
Paul Trap ◽  
Optical Clock ◽  
Linear Paul Trap ◽  
Trap Design ◽  
Coulomb Crystals

scholarly journals Suitability of linear quadrupole ion traps for large Coulomb crystals

2012 ◽  
Vol 107 (4) ◽  
pp. 1097-1104 ◽  
Author(s):  
D. A. Tabor ◽  
V. Rajagopal ◽  
Y.-W. Lin ◽  
B. Odom
Keyword(s):  
Ion Traps ◽  
Coulomb Crystals ◽  
Quadrupole Ion Traps

scholarly journals Ion Coulomb crystals: from quantum technology to chemistry close to the absolute zero point

2017 ◽  
Vol 48 (2) ◽  
pp. 17-20 ◽  
Author(s):  
O. Dulieu ◽  
S. Willitsch
Keyword(s):  
Chemical Reactions ◽  
Quantum Computer ◽  
Zero Point ◽  
Ion Traps ◽  
Molecular Ions ◽  
Absolute Zero ◽  
Ordered Structures ◽  
Coulomb Crystals ◽  
The Absolute ◽  
Quantum Technology

Ion Coulomb crystals are ordered structures of atomic or molecular ions stored in ion traps at temperatures close to the absolute zero point. These unusual “crystals” form the basis of extremely accurate clocks, provide an environment for precise studies of chemical reactions and enable advanced implementations of the technology for a quantum computer. In this article, we discuss the techniques for generating atomic and molecular Coulomb crystals and highlight some of their applications.

scholarly journals Sympathetic Ground State Cooling and Time-Dilation Shifts in an Al27+ Optical Clock

2017 ◽  
Vol 118 (5) ◽  
Author(s):  
J.-S. Chen ◽  
S. M. Brewer ◽  
C. W. Chou ◽  
D. J. Wineland ◽  
D. R. Leibrandt ◽  
...  
Keyword(s):  
Ground State ◽  
Time Dilation ◽  
Optical Clock ◽  
Ground State Cooling

The Equivalence Principle

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
General Relativity ◽  
Special Relativity ◽  
Equivalence Principle ◽  
Time Dilation ◽  
Gravitational Redshift ◽  
Coordinate Systems ◽  
Spacetime Metric

The equivalence principle is an important thinking tool to bootstrap our thinking from the inertial coordinate systems of special relativity to the more complex coordinate systems that must be used in the presence of gravity (general relativity). The equivalence principle posits that at a given event gravity accelerates everything equally, so gravity is equivalent to an accelerating coordinate system.This conjecture is well supported by precise experiments, so we explore the consequences in depth: gravity curves the trajectory of light as it does other projectiles; the effects of gravity disappear in a freely falling laboratory; and gravitymakes time runmore slowly in the basement than in the attic—a gravitational form of time dilation. We show how this is observable via gravitational redshift. Subsequent chapters will build on this to show how the spacetime metric varies with location.

Energy and Momentum

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
Time Dilation ◽  
Speed Of Light ◽  
Massless Particles ◽  
The Everyday ◽  
Low Speeds ◽  
Energy And Momentum ◽  
Deep Relationship ◽  
Insight Into ◽  
Momentum Relation

Tis chapter explains the famous equation E = mc2 as part of a wider relationship between energy, mass, and momentum. We start by defning energy and momentum in the everyday sense. We then build on the stretching‐triangle picture of spacetime vectors developed in Chapter 11 to see how energy, mass, and momentum have a deep relationship that is not obvious at everyday low speeds. When momentum is zero (a mass is at rest) this energy‐momentum relation simplifes to E = mc2, which implies that mass at rest quietly stores tremendous amounts of energy. Te energymomentum relation also implies that traveling near the speed of light (e.g., to take advantage of time dilation for interstellar journeys) will require tremendous amounts of energy. Finally, we look at the simplifed form of the energy‐momentum relation when the mass is zero. Tis gives us insight into the behavior of massless particles such as the photon.

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