LAUSR

In this work, we study the interaction of quantum gases in Lorentz-violating scenarios considering both boson and fermion sectors. In the latter case, we investigate the consequences of a system governed by scalar, vector, pseudovector and tensor operators. Besides, we examine the implications of $$\left( \hat{k}_{a}\right) ^{\kappa }$$ and $$\left( \hat{k}_{c}\right) ^{\kappa \xi }$$ operators for the boson case and the upper bounds are estimated. To do so, we regard the grand canonical ensemble seeking the so-called partition function, which suffices to provide analytically the calculations of interest, i.e., the mean particle number, the entropy, the mean total energy and the pressure. Furthermore, in low-temperature regime, such quantities converge until reaching a similar behavior being in contrast with what is shown in high-temperature regime, which brings out the differentiation of their effects. In addition, the particle number, the entropy and the energy exhibit an extensive characteristic even in the presence of Lorentz violation. Also, for the pseudovector and the tensor operators, we notice a remarkable feature due to the breaking process of spin degeneracy: the system turns out to have greater energy and particle number for the spin-down particles in comparison with the spin-up ones. Finally, we propose two feasible applications to corroborate our results: phosphorene and spin precession.