In this thesis we present the experimental observation of the relaxation of the amorphous state in tantalum disulfide towards the ground state, which is a commensurate charge density wave. We use a scanning tunneling microscope for our observations. First we introduce the relevant theoretical concepts, such as charge density waves, polarons, metastable hidden states in solid matter and hyperuniformity. Then we focus on the used experimental technique and present scanning tunneling microscopy. We then describe the material 1T-TaS$_2$ and its equilibrium phase diagram, which includes several charge density wave states. We briefly present the metastable hidden state, which is not present on the equilibrium phase diagram and can be induced by laser or with electric pulses. We present in more detail the metastable amorphous state and its known properties. Then we describe the experiment, in which we created the amorphous state using a scanning tunneling microscope tip, and then observed its relaxation at the temperature 80 K. We interpret the amorphous state as a system of polarons. We analyze the positions of polarons from sequences of images obtained with a scanning tunneling microscope. From this analysis we conclude the amorphous state at 80 K does show some signs of relaxation towards the ground state, but for evaluating its lifetime, improvements to the experiment would be necessary, they are stated in the conclusion of the thesis.
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