"author_list":"Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino",
"abstract":"The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock\nmodel on the square lattice are investigated by means of the corner-transfer\nmatrix renormalization group method. The classical analogue of the entanglement\nentropy $S( L, T )$ is calculated for $L$ by $L$ square system up to $L = 129$,\nas a function of temperature $T$. The entropy has a peak at $T = T^{*}_{~}( L\n)$, where the temperature depends on both $L$ and boundary conditions. Applying\nthe finite-size scaling to $T^{*}_{~}( L )$ and assuming the presence of BKT\ntransitions, the transition temperature is estimated to be $T_1^{~} = 0.70$ and\n$T_2^{~} = 0.88$. The obtained results agree with previous analyses. It should\nbe noted that no thermodynamic function is used in this study.",
"pub_abstract":"The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock\nmodel on the square lattice are investigated by means of the corner-transfer\nmatrix renormalization group method. The classical analogue of the entanglement\nentropy $S( L, T )$ is calculated for $L$ by $L$ square system up to $L = 129$,\nas a function of temperature $T$. The entropy has a peak at $T = T^{*}_{~}( L\n)$, where the temperature depends on both $L$ and boundary conditions. Applying\nthe finite-size scaling to $T^{*}_{~}( L )$ and assuming the presence of BKT\ntransitions, the transition temperature is estimated to be $T_1^{~} = 0.70$ and\n$T_2^{~} = 0.88$. The obtained results agree with previous analyses. It should\nbe noted that no thermodynamic function is used in this study.",
"title":"Phase transition of the six-state clock model observed from the\n entanglement entropy",
"abstract":"The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clockmodel on the square lattice are investigated by means of the corner-transfermatrix renormalization group method. The classical analogue of the entanglemententropy $S( L, T )$ is calculated for $L$ by $L$ square system up to $L = 129$,as a function of temperature $T$. The entropy has a peak at $T = T^{*}_{~}( L)$, where the temperature depends on both $L$ and boundary conditions. Applyingthe finite-size scaling to $T^{*}_{~}( L )$ and assuming the presence of BKTtransitions, the transition temperature is estimated to be $T_1^{~} = 0.70$ and$T_2^{~} = 0.88$. The obtained results agree with previous analyses. It shouldbe noted that no thermodynamic function is used in this study.",
"pub_abstract":"The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clockmodel on the square lattice are investigated by means of the corner-transfermatrix renormalization group method. The classical analogue of the entanglemententropy $S( L, T )$ is calculated for $L$ by $L$ square system up to $L = 129$,as a function of temperature $T$. The entropy has a peak at $T = T^{*}_{~}( L)$, where the temperature depends on both $L$ and boundary conditions. Applyingthe finite-size scaling to $T^{*}_{~}( L )$ and assuming the presence of BKTtransitions, the transition temperature is estimated to be $T_1^{~} = 0.70$ and$T_2^{~} = 0.88$. The obtained results agree with previous analyses. It shouldbe noted that no thermodynamic function is used in this study.",
"title":"Phase transition of the six-state clock model observed from the entanglement entropy",
"abstract":"A kind of least action principle is introduced for the discrete time\nevolution of one-dimensional quantum lattice models. Based on this principle,\nwe obtain an optimal condition for the matrix product states on succeeding time\nslices generated by the real-time density matrix renormalization group method.\nThis optimization can also be applied to classical simulations of quantum\ncircuits. We discuss the time reversal symmetry in the fully optimized MPS.",
"pub_abstract":"A kind of least action principle is introduced for the discrete time\nevolution of one-dimensional quantum lattice models. Based on this principle,\nwe obtain an optimal condition for the matrix product states on succeeding time\nslices generated by the real-time density matrix renormalization group method.\nThis optimization can also be applied to classical simulations of quantum\ncircuits. We discuss the time reversal symmetry in the fully optimized MPS.",
"title":"Least Action Principle for the Real-Time Density Matrix Renormalization\n Group",
"abstract":"A kind of least action principle is introduced for the discrete timeevolution of one-dimensional quantum lattice models. Based on this principle,we obtain an optimal condition for the matrix product states on succeeding timeslices generated by the real-time density matrix renormalization group method.This optimization can also be applied to classical simulations of quantumcircuits. We discuss the time reversal symmetry in the fully optimized MPS.",
"pub_abstract":"A kind of least action principle is introduced for the discrete timeevolution of one-dimensional quantum lattice models. Based on this principle,we obtain an optimal condition for the matrix product states on succeeding timeslices generated by the real-time density matrix renormalization group method.This optimization can also be applied to classical simulations of quantumcircuits. We discuss the time reversal symmetry in the fully optimized MPS.",
"title":"Least Action Principle for the Real-Time Density Matrix Renormalization Group",
