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<p><span style="font-family: georgia, serif; font-size: large;">Prezados colegas</span></p>
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<div><span style="font-family: georgia, serif; font-size: large;">A próxima QPequi Talks será (virtualmente) ministrada pela Dr. Angela Capel (University of Tübingen), dia 10/11 às 10 horas da manhã. Abaixo encontram-se as informações sobre a palestra, inclusive o link para quem tiver interesse em acompanhar.</span><span style="font-family: georgia, serif; font-size: large;"></span></div>
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<div><span style="font-size: large;"><strong>Rapid thermalization of spin chain commuting Hamiltonians</strong><span style="font-family: georgia, serif;"><br /></span></span></div>
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<p><span style="font-size: large;">Given a thermal quantum dissipative evolution modelled by a quantum Markov semigroup, its mixing time can be bounded via the optimal constant of the so-called "modified logarithmic Sobolev inequality" (MLSI), which can be interpreted as the exponential decay rate for the relative entropy between an evolved state and the thermal equilibrium. In this talk, we will show that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. From a physical point of view, this result rigorously establishes the absence of dissipative phase transition for Davies evolutions over translation-invariant spin chains. The result also applies in the case of Symmetry Protected Topological phases where the evolution is respecting the symmetry of the phase. This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.</span></p>
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<div><span style="font-family: georgia, serif; font-size: large;"><strong>The talk will happen virtually on the following Zoom link:</strong><br /></span></div>
<div><span style="font-family: georgia, serif; font-size: large;"><a href="https://us06web.zoom.us/j/89236385492?pwd=dUppTTh3cUh6b0YrbUh3dWFOV1IrQT09" target="_blank" rel="noopener noreferrer">https://us06web.zoom.us/j/89236385492?pwd=dUppTTh3cUh6b0YrbUh3dWFOV1IrQT09</a><br /></span></div>
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<div><span style="font-family: georgia, serif; font-size: large;"><br />Meeting ID: 892 3638 5492<br />Passcode: 956398.</span></div>
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<div><span style="font-family: georgia, serif; font-size: large;"><strong>and also will be streamed through our YouTube channe</strong>l:</span></div>
<div><a href="https://www.youtube.com/watch?v=D1RII8RFyPM" target="_blank" rel="noopener noreferrer"><span style="font-family: georgia, serif; font-size: large;">https://www.youtube.com/watch?v=D1RII8RFyPM</span></a></div>
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<div>Até breve,</div>
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<p><span style="font-family: arial, helvetica, sans-serif;">Prof. Lucas Chibebe Céleri</span><br /><span style="font-family: arial, helvetica, sans-serif;">Institute of Physics, UFG </span><br /><span style="font-family: arial, helvetica, sans-serif;">Head of Physics Graduate Program</span><br /><span style="font-family: arial, helvetica, sans-serif;">Head of QPequi research group </span><br /><span style="font-family: arial, helvetica, sans-serif;"><a href="http://www.qpequi.com" rel="noopener noreferrer">www.qpequi.com</a></span></p>
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