When plasmas are compressed multi-kilojoule lasers, some of the largest in the world, it is normally possible to get some nuclear fusion occurring. The neutrons produced in this fusion are normally produced in yields of about 105 neutrons per joule. When fusion is specifically sought for some incredible events have been produced. By blasting lasers into a compressible fuel pellet of deuterium and tritium an implosion was produced at the National Ignition Facility (NIF) in California which produced 7.6 × 1015 neutrons while only using 1.9 × 106 joule laser pulses. This is about 109 neutrons per joule. This event actually holds the record for the highest neutron number to joule ratio of any system in the world.
The Hamiltonian is a concept in (unsurprisingly) in Hamiltonian mechanics which represents an operator in a system. In many cases it corresponds to the total energy of a system and so I’ll continue to use it as analogous for the total energy although this not always true. Just picture it as an equation with each term representing one of the kinds of energy a system contains. Now often you want to find the ground state, the lowest possible energy, for the system as this will provide useful information to solve it. But what if this Hamiltonian’s ground state is very complicated, if not impossible, to find algebraically? Well, this is the basis of an adapted form of quantum computing called adiabatic quantum computing.