- #1
Nusc
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What does this mean?
What is the Lamb-Dicke regime and how does it impact ion trapping experiments?
- Thread starter Nusc
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In summary, the conversation discusses the Lamb-Dicke limit, which is a necessary condition for creating entangled ions. This limit defines the upper range in which the ions' motion must be smaller than the wavelength of light used for manipulation. It also sets a maximum temperature for the ions and requires them to be cooled below the limit before manipulation. The conversation also includes a humorous reference to Welshmen and sheep.
- #2
Jon_Trevathan
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Incidental to my research in connection with the questions I posed in https://www.physicsforums.com/showthread.php?t=279595", I found the answer to a question that has been pending in this forum for some time.
The Lamb-Dicke limit is a necessary condition for creation of entangled ions (i.e. the ions must be within the Lamb-Dicke range while their internal and motional states are being manipulated to create the entanglement). The Lamb-Dicke limit defines the upper limit of a range where the ion motion is much smaller than the wavelength of light that is used to excite the desired transition (i.e. the amplitude of the ion motion in the propagation direction of the state manipulating radiation is much less than [tex]\lambda[/tex]/2 Pi, where[tex]\lambda[/tex] is the radiation wavelength). In other words, the Lamb-Dicke limit functionally establishes a maximum temperature for the ions that are to be manipulated. Further, because the ions generally cannot be actively laser cooled while the state manipulations are being performed, the ions must initially be cooled below the Lamb-Dicke limit such that the Lamb-Dicke limit will not be exceeded during the entire manipulation process that creates the entanglement.
[tex]\pi[/tex]
The Lamb-Dicke limit is a necessary condition for creation of entangled ions (i.e. the ions must be within the Lamb-Dicke range while their internal and motional states are being manipulated to create the entanglement). The Lamb-Dicke limit defines the upper limit of a range where the ion motion is much smaller than the wavelength of light that is used to excite the desired transition (i.e. the amplitude of the ion motion in the propagation direction of the state manipulating radiation is much less than [tex]\lambda[/tex]/2 Pi, where[tex]\lambda[/tex] is the radiation wavelength). In other words, the Lamb-Dicke limit functionally establishes a maximum temperature for the ions that are to be manipulated. Further, because the ions generally cannot be actively laser cooled while the state manipulations are being performed, the ions must initially be cooled below the Lamb-Dicke limit such that the Lamb-Dicke limit will not be exceeded during the entire manipulation process that creates the entanglement.
[tex]\pi[/tex]
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- #3
Danger
Gold Member
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Man... if this had been asked in General Discussion, I would have had something to say about Welshmen and their sheep... 
FAQ: What is the Lamb-Dicke regime and how does it impact ion trapping experiments?
What is the Lamb-Dicke regime and why is it important?
The Lamb-Dicke regime is a physical phenomenon that occurs when a trapped ion is subjected to a laser beam. It is important because it allows for precise control and manipulation of the ion's motion, which is essential for applications such as quantum information processing and precision measurements.
How does the Lamb-Dicke regime affect the motion of a trapped ion?
The Lamb-Dicke regime causes the ion to experience a harmonic motion around the center of the trap, rather than a free motion. This is due to the ion's interaction with the laser, which causes it to absorb and emit photons, resulting in a "quantum jump" in its energy levels. This results in a smaller spread of the ion's position and momentum, making it easier to control and manipulate its motion.
What are the conditions for the Lamb-Dicke regime to occur?
The Lamb-Dicke regime occurs when the wavelength of the laser is much larger than the size of the trap and the ion's motional frequency. Additionally, the ion must have a high enough energy to undergo quantum jumps, but not too high that it breaks free from the trap.
What are the practical applications of the Lamb-Dicke regime?
The Lamb-Dicke regime has various practical applications in fields such as quantum computing, quantum simulation, and precision measurements. It allows for precise manipulation and control of individual ions, which is crucial for these applications.
How does the Lamb-Dicke regime impact quantum information processing?
The Lamb-Dicke regime is essential for quantum information processing as it allows for the creation of high-fidelity quantum gates, which are the building blocks of quantum computing. It also enables the implementation of quantum algorithms and error correction codes, making it a crucial tool for this field.