Calculation of CTMRG projectors (varipeps.ctmrg.projectors)

varipeps.ctmrg.projectors.calc_bottom_projectors(peps_tensors: Sequence[Sequence[Array]], peps_tensor_objs: Sequence[Sequence[PEPS_Tensor]], config: PEPS_AD_Config, state: PEPS_AD_Global_State) → Bottom_Projectors

Calculate the bottom projectors for the CTMRG method.

Parameters:

  • peps_tensors (sequence of sequence of jax.numpy.ndarray) – Nested list of the PEPS tensor arrays. The row (first) index corresponds to the x axis, the column (second) index to y.

  • peps_tensor_objs (sequence of sequence of PEPS_Tensor) – Nested list of the PEPS tensor objects. Same format as for peps_tensors.

  • config (PEPS_AD_Config) – Global configuration object of the variPEPS library. Please see its class definition for details.

  • state (PEPS_AD_Global_State) – Global state object of the variPEPS library. It is used to transport a common state across different parts of the framework. Please see its class definition for details.

Returns:

The bottom left and right projectors.

Return type:

Bottom_Projectors

varipeps.ctmrg.projectors.calc_left_projectors(peps_tensors: Sequence[Sequence[Array]], peps_tensor_objs: Sequence[Sequence[PEPS_Tensor]], config: PEPS_AD_Config, state: PEPS_AD_Global_State) → Left_Projectors

Calculate the left projectors for the CTMRG method.

Parameters:

  • peps_tensors (sequence of sequence of jax.numpy.ndarray) – Nested list of the PEPS tensor arrays. The row (first) index corresponds to the x axis, the column (second) index to y.

  • peps_tensor_objs (sequence of sequence of PEPS_Tensor) – Nested list of the PEPS tensor objects. Same format as for peps_tensors.

  • config (PEPS_AD_Config) – Global configuration object of the variPEPS library. Please see its class definition for details.

  • state (PEPS_AD_Global_State) – Global state object of the variPEPS library. It is used to transport a common state across different parts of the framework. Please see its class definition for details.

Returns:

The left top and bottom projectors.

Return type:

Left_Projectors

varipeps.ctmrg.projectors.calc_right_projectors(peps_tensors: Sequence[Sequence[Array]], peps_tensor_objs: Sequence[Sequence[PEPS_Tensor]], config: PEPS_AD_Config, state: PEPS_AD_Global_State) → Right_Projectors

Calculate the right projectors for the CTMRG method.

Parameters:

  • peps_tensors (sequence of sequence of jax.numpy.ndarray) – Nested list of the PEPS tensor arrays. The row (first) index corresponds to the x axis, the column (second) index to y.

  • peps_tensor_objs (sequence of sequence of PEPS_Tensor) – Nested list of the PEPS tensor objects. Same format as for peps_tensors.

  • config (PEPS_AD_Config) – Global configuration object of the variPEPS library. Please see its class definition for details.

  • state (PEPS_AD_Global_State) – Global state object of the variPEPS library. It is used to transport a common state across different parts of the framework. Please see its class definition for details.

Returns:

The right top and bottom projectors.

Return type:

Right_Projectors

varipeps.ctmrg.projectors.calc_top_projectors(peps_tensors: Sequence[Sequence[Array]], peps_tensor_objs: Sequence[Sequence[PEPS_Tensor]], config: PEPS_AD_Config, state: PEPS_AD_Global_State) → Top_Projectors

Calculate the top projectors for the CTMRG method.

Parameters:

  • peps_tensors (sequence of sequence of jax.numpy.ndarray) – Nested list of the PEPS tensor arrays. The row (first) index corresponds to the x axis, the column (second) index to y.

  • peps_tensor_objs (sequence of sequence of PEPS_Tensor) – Nested list of the PEPS tensor objects. Same format as for peps_tensors.

  • config (PEPS_AD_Config) – Global configuration object of the variPEPS library. Please see its class definition for details.

  • state (PEPS_AD_Global_State) – Global state object of the variPEPS library. It is used to transport a common state across different parts of the framework. Please see its class definition for details.

Returns:

The top left and right projectors.

Return type:

Top_Projectors