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There are several ways to destroy a Bose-Einstein condensate. The most common is temperature, which is why BECs are all low-temperature phenomena. For instance, helium becomes superfluid when a large fraction of the atoms enter the same quantum state, which happens around $\mathrm{2\,K = \frac16\,meV}/k$, so apparently the first excited state in fluid helium is somewhere around 200 µeV. A beta decay typically releases a few MeV, mega-eV, of energy, a billion times more than a BEC-destroying phonon. Most of that energy is carried away by the electron and the neutrino, but about 0.01% of the decay energy goes into recoil of the decaying nucleus — more than enough to knock it out of the condensate.

An interesting question is whether you could produce a condensate that decayed as a unit. It could be that's what a nucleus is: you don't get to say "the neutron in the $g_{3/2}$ orbital decayed," but instead "the nucleus decayed." Certainly it'd have to be a medium where the excitation energies are comparable to or smaller than the energies involved in the nuclear decays. You can also produce a condensate that undergoes electromagnetic electronic transitions as an ensemble: we call it a laser.

Another handwavy way to think of a condensate is as an ensemble where the distance between atoms is much shorter than the de Broglie wavelength of a typical atom, so that you can no longer make a clear separation between one atom's wavefunction and its neighbors. Interactions which preserve the condensate must have a long enough length scale (or low enough energy scale) to involve the entire condensate at once. But the length scale for the weak interaction goes like $\hbar c / m_W c^2 = 0.002\,\mathrm{fm}$, many times smaller than a nucleon; that interaction can't be spread across the ensemble the way that a low-temperature phonon can.

There are several ways to destroy a Bose-Einstein condensate. The most common is temperature, which is why BECs are all low-temperature phenomena. For instance, helium becomes superfluid when a large fraction of the atoms enter the same quantum state, which happens around $\mathrm{2\,K = \frac16\,meV}/k$, so apparently the first excited state in fluid helium is somewhere around 200 µeV. A beta decay typically releases a few MeV, mega-eV, of energy, a billion times more than a BEC-destroying phonon. Most of that energy is carried away by the electron and the neutrino, but about 0.01% of the decay energy goes into recoil of the decaying nucleus — more than enough to knock it out of the condensate.

An interesting question is whether you could produce a condensate that decayed as a unit. It could be that's what a nucleus is: you don't get to say "the neutron in the $g_{3/2}$ orbital decayed," but instead "the nucleus decayed." Certainly it'd have to be a medium where the excitation energies are comparable to or smaller than the energies involved in the nuclear decays. You can also produce a condensate that undergoes electromagnetic electronic transitions as an ensemble: we call it a laser.

There are several ways to destroy a Bose-Einstein condensate. The most common is temperature, which is why BECs are all low-temperature phenomena. For instance, helium becomes superfluid when a large fraction of the atoms enter the same quantum state, which happens around $\mathrm{2\,K = \frac16\,meV}/k$, so apparently the first excited state in fluid helium is somewhere around 200 µeV. A beta decay typically releases a few MeV, mega-eV, of energy, a billion times more than a BEC-destroying phonon. Most of that energy is carried away by the electron and the neutrino, but about 0.01% of the decay energy goes into recoil of the decaying nucleus — more than enough to knock it out of the condensate.

An interesting question is whether you could produce a condensate that decayed as a unit. It could be that's what a nucleus is: you don't get to say "the neutron in the $g_{3/2}$ orbital decayed," but instead "the nucleus decayed." Certainly it'd have to be a medium where the excitation energies are comparable to or smaller than the energies involved in the nuclear decays. You can also produce a condensate that undergoes electromagnetic electronic transitions as an ensemble: we call it a laser.

Another handwavy way to think of a condensate is as an ensemble where the distance between atoms is much shorter than the de Broglie wavelength of a typical atom, so that you can no longer make a clear separation between one atom's wavefunction and its neighbors. Interactions which preserve the condensate must have a long enough length scale (or low enough energy scale) to involve the entire condensate at once. But the length scale for the weak interaction goes like $\hbar c / m_W c^2 = 0.002\,\mathrm{fm}$, many times smaller than a nucleon; that interaction can't be spread across the ensemble the way that a low-temperature phonon can.

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rob
  • 94.2k
  • 20
  • 177
  • 353

There are several ways to destroy a Bose-Einstein condensate. The most common is temperature, which is why BECs are all low-temperature phenomena. For instance, helium becomes superfluid when a large fraction of the atoms enter the same quantum state, which happens around $\mathrm{2\,K = \frac16\,meV}/k$, so apparently the first excited state in fluid helium is somewhere around 200 µeV. A beta decay typically releases a few MeV, mega-eV, of energy, a billion times more than a BEC-destroying phonon. Most of that energy is carried away by the electron and the neutrino, but about 0.01% of the decay energy goes into recoil of the decaying nucleus — more than enough to knock it out of the condensate.

An interesting question is whether you could produce a condensate that decayed as a unit. It could be that's what a nucleus is: you don't get to say "the neutron in the $g_{3/2}$ orbital decayed," but instead "the nucleus decayed." Certainly it'd have to be a medium where the excitation energies are comparable to or smaller than the energies involved in the nuclear decays. You can also produce a condensate that undergoes electromagnetic electronic transitions as an ensemble: we call it a laser.