The invention claimed is:1. A production method of a negative electrode active material for non-aqueous electrolyte secondary batteries containing SiOx wherein 0.5≤x≤1.6 as a silicon compound that contains Li, comprising the steps of:preparing SiOx wherein 0.5≤x≤1.6 as a silicon compound;forming a carbon film on a surface of the silicon compound;inserting lithium into the silicon compound covered with the carbon film with a solution A containing lithium, an ether-based solvent and a straight chain polyphenylene compound or its derivative;making the silicon compound into which the lithium has been inserted contact with a solution B containing a polycyclic aromatic compound or a derivative thereof or both thereof containing one or more kinds selected from an ether-based solvent, a ketone-based solvent, an ester-based solvent, an alcohol-based solvent, and an amine-based solvent as the solvent to thereby desorb only a part of the lithium from the silicon compound wherein lithium is inserted; andmaking the silicon compound that has been contacted with the solution B contact with a solution C containing one or more kinds selected from the alcohol-based solvent, a carboxylic acid-based solvent, and water as the solvent,wherein treatment conditions when contacting the silicon compound into which the lithium has been inserted with the solution B are adjusted to desorb only a part of the lithium, the treatment conditions including at least a concentration of the polycyclic aromatic compound or a derivative thereof or both thereof in the solution B; a reaction temperature when contacting the silicon compound into which the lithium has been inserted with the solution B; and a contact time of the silicon compound into which the lithium has been inserted with the solution B.2. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1, wherein in the step of making the silicon compound contact with the solution B, the silicon compound is contacted with the solution B for 3 minutes or longer.3. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1, wherein in the step of inserting lithium, the silicon compound is contacted with the solution A for 3 minutes or longer to insert the lithium into the silicon compound.4. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 2, wherein in the step of inserting lithium, the silicon compound is contacted with the solution A for 3 minutes or longer to insert the lithium into the silicon compound.5. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1, wherein one or more kinds of biphenyl, terphenyl, and derivative thereof are used as the straight chain polyphenylene compound.6. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1, wherein one containing the alcohol-based solvent or water as the solvent is used as the solution C.7. The production method of a negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1, wherein the method includes the step of forming an electrode containing the silicon compound before the step of inserting lithium, and to the silicon compound contained in the electrode, the step of inserting lithium, the step of making the silicon compound contact with the solution B, and the step of making the silicon compound contact with the solution C are applied.8. A non-aqueous electrolyte secondary battery having an electrode containing the negative electrode active material for non-aqueous electrolyte secondary batteries produced according to the production method of negative electrode active material for non-aqueous electrolyte secondary batteries according to claim 1.