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Many body covers questions about systems consisting of a great number of particles and techniques used to tackle them.

2 votes
1 answer
245 views

Meaning of many-body $n$-particle gaps

I would like to ask what it means exactly for a many-body system to have a nonzero $n$-particle gap. If I have a spectrum for each number sector of the Hilbert space for a number conserving Hamiltonia …
lgotta's user avatar
  • 335
0 votes
0 answers
54 views

Most general Fock state of spin-1/2 fermions: a parametrization

I wanted to ask if it is true that a valid parametrization of a generic (unnormalized) state in the Fock space of spin-$1/2$ fermions can be written as: $$|\psi>= \prod_{j=1}^L[\alpha_j +\beta_j \hat …
lgotta's user avatar
  • 335
1 vote
1 answer
81 views

Stationary state of Lindblad equation

Is it true that a generic operator that is annihilated by the Lindblad superoperator (with both Hamiltonian and dissipative parts of the dynamics) has to be annihilated separately by both the Hamilton …
lgotta's user avatar
  • 335
0 votes
0 answers
14 views

Lattice gauge theories and commuting-operator Hamiltonians

Since the Hamiltonian of the toric code is made of mutually commuting terms that are therefore local conserved quantities, it must be naturally linked to lattice gauge theories. What is in general the …
lgotta's user avatar
  • 335
0 votes
0 answers
33 views

Constant in mean-field Hamiltonian

When one obtains the mean-field Hamiltonian of a (classical or quantum) spin system and then needs to find the mean-field parameters by minimizing the expectation value of the Hamiltonian, does one ne …
lgotta's user avatar
  • 335
0 votes
0 answers
40 views

Fourier transform of spin Matsubara Green function

Is the spin Matsubara Green function of a generic spin operator (or product of spin operators) bosonic? How can one obtain its frequency decomposition?
lgotta's user avatar
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