DecoherexThe Interference / Quantum Decoherence
Decoherex – The Interference / Quantum Decoherence Physics T-Shirt
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Size & fitS–5XL
Unisex heavy cotton (Gildan 5000), classic fit.
| Size | Width | Length | Sleeve |
|---|---|---|---|
| S | 18 | 28 | 15.1 |
| M | 20 | 29 | 16.5 |
| L | 22 | 30 | 18 |
| XL | 24 | 31 | 19.5 |
| 2XL | 26 | 32 | 21 |
| 3XL | 28 | 33 | 22.4 |
| 4XL | 30 | 34 | 23.7 |
| 5XL | 32 | 35 | 25 |
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∂ The physics
Decoherex does not destroy superpositions. They spread them too thin to see.
A quantum system's density matrix holds two kinds of number. On the diagonal sit plain probabilities: the chance of finding it here, the chance of finding it there. Off the diagonal sit the coherences, the terms that produce interference fringes. The formula on this page models one of them dying away over a time \(\tau_D\). Once it is gone, the system behaves like an ordinary coin: odds known, no interference.
Where does it go? Into the surroundings. Every stray photon or air molecule that bounces off the system and carries away even a trace of information about it becomes entangled with it. The superposition is still there, but it now belongs to the system plus a growing crowd of environmental particles that nobody tracks. Look at the system alone and the interference has vanished. H. Dieter Zeh pointed this out in 1970; Wojciech Zurek and others developed it into an account of how a classical world emerges.
It is measured. In 1996 Serge Haroche's group in Paris put a microwave field in a cavity into a superposition of two states and watched the coherence between them fade, faster the more different the two states were. Haroche shared the 2012 Nobel Prize. In Vienna in 1999, buckyballs of sixty carbon atoms sent through a grating produced interference. In 2004 the same group heated similar molecules with lasers until they glowed; each emitted thermal photon carried away a little which-way information, and the fringes washed out as the temperature rose.
What decoherence does not obviously do is select a single outcome. Whether it solves the measurement problem, or only explains why big objects never show interference, is still debated.
Decoherex deletes nothing. They just make sure everyone finds out.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(\rho_{01}\) | off-diagonal (coherence) element of the density matrix | \(\mathrm{1}\) |
| \(t\) | time | \(\mathrm{s}\) |
| \(\tau_D\) | decoherence time | \(\mathrm{s}\) |
Sources
- Zeh (1970) On the interpretation of measurement in quantum theory, Found. Phys. 1, 69 (opens in a new tab)
- Zurek (2003) Decoherence, einselection, and the quantum origins of the classical, Rev. Mod. Phys. 75, 715 (opens in a new tab)
- Encyclopaedia Britannica — Decoherence (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 2012 (Haroche, Wineland) (opens in a new tab)
- Brune et al. (1996) Observing the Progressive Decoherence of the “Meter” in a Quantum Measurement, PRL 77, 4887 (opens in a new tab)
- Arndt et al. (1999) Wave–particle duality of C60 molecules, Nature 401, 680 (opens in a new tab)
- Hackermüller, Hornberger, Brezger, Zeilinger, Arndt (2004) Decoherence of matter waves by thermal emission of radiation, Nature 427, 711 (opens in a new tab)
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